STA108B01-Final Project
Shih-Chi Chen
12/14/2020
Team ID:6
Team member:Brendan Paul Voges, Raghuram Palaniappan, Shih-Chi Chen, Xianzheng Sun
# Read in the data and do some initial checking
mydata = read.table("Earnings.txt", header=TRUE)
dim(mydata)## [1] 595 12n = dim(mydata)[1]
p = dim(mydata)[2]
# Create each X predictor variable and Y response variable
x1.exp=mydata$experience
x2.weeks=mydata$weeks
x10.education=mydata$education
YM=mydata$wage
# categorical variable: occupation (Set occupation white=1, otherwise=0)
index3 = which(mydata$occupation=='white')
mydata$occupation[index3] = 1
mydata$occupation[-index3] = 0
# categorical variable: industry (Set industry yes=1, otherwise=0)
index4 = which(mydata$industry=='yes')
mydata$industry[index4] = 1
mydata$industry[-index4] = 0
# categorical variable: south (Set south yes=1, otherwise=0)
index5 = which(mydata$south=='yes')
mydata$south[index5] = 1
mydata$south[-index5] = 0
# categorical variable: smsa (Set smsa yes=1, otherwise=0)
index6 = which(mydata$smsa=='yes')
mydata$smsa[index6] = 1
mydata$smsa[-index6] = 0
# categorical variable: married (Set married yes=1, otherwise=0)
index7 = which(mydata$married=='yes')
mydata$married[index7] = 1
mydata$married[-index7] = 0
# categorical variable: gender (Set gender male=1, otherwise=0)
index8 = which(mydata$gender=='male')
mydata$gender[index8] = 1
mydata$gender[-index8] = 0
# categorical variable: union (Set union yes=1, otherwise=0)
index9 = which(mydata$union=='yes')
mydata$union[index9] = 1
mydata$union[-index9] = 0
# categorical variable: ethnicity (Set ethnicity afam=1, otherwise=0)
index11 = which(mydata$ethnicity=='afam')
mydata$ethnicity[index11] = 1
mydata$ethnicity[-index11] = 0#############################
##### Data exploration
#############################
head(mydata)## experience weeks occupation industry south smsa married gender union
## 1 9 32 1 1 1 0 1 1 0
## 2 36 30 0 1 0 0 1 1 0
## 3 12 46 0 1 0 0 0 1 1
## 4 37 46 0 0 0 1 0 0 0
## 5 16 49 1 0 0 0 1 1 0
## 6 32 47 0 1 0 1 1 1 0
## education ethnicity wage
## 1 9 0 515
## 2 11 0 912
## 3 12 0 954
## 4 10 1 751
## 5 16 0 1474
## 6 12 0 1539plot(mydata[,1:12])
model1 = lm(YM~., data=mydata[,1:12])
plot(model1)
library(MASS)
boxcox(model1)
####### data splitting
set.seed(111) # include set.seed for reproducibility
ids = sample(1:595, 298)
# pseudo code
training = mydata[ids,]
validation = mydata[-ids,]The largest \(R{a,p}=0.3543545\), which is model:(X1,X3,X4,X5,X6,X8,X10,X11)
#######################################################################
##### Model selection: best subsets
##### first-order models on X1 - X11
#######################################################################
library(leaps)
mydata1 = data.frame(cbind(YM,mydata[,1:11]))
models=regsubsets(YM~., data=mydata1,nbest=20)
# which variables are in the model
summary(models)$which## (Intercept) experience weeks occupation1 industry1 south1 smsa1 married1
## 1 TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
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## 8 TRUE FALSE TRUE TRUE# find the Rp squared
Rp =summary(models)$rsq
p = rowSums(summary(models)$which)
# plot Rp squared
plot(p,Rp)
The largest \(R_{a,p}= 0.3455402671\), which is model:(X1,X3,X4,X5,X6,X8,X10,X11)
# find the max Rap
Rap =summary(models)$adjr2
which.max(Rap) #132## [1] 132summary(models)$which[which.max(Rap),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE TRUE TRUE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUE#plot Rap
plot(p,Rap)
The smallest \(C_p=8.864002\), which is model:(X1,X3,X4,X5,X6,X8,X10,X11)
# find min cp
Cp =summary(models)$cp
which.min(Cp) #132## [1] 132summary(models)$which[which.min(Cp),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE TRUE TRUE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUEwhich.min(Cp-p) #132## 8
## 132summary(models)$which[which.min(Cp-p),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE TRUE TRUE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUE#plot cp
p = rowSums(summary(models)$which)
plot(p,Cp) # we can see the smallest the cp is close to the p
abline(0,1)
The smallest \(SSE=108168963\), which is model:(X1,X3,X4,X5,X6,X8,X10,X11) The smallest \(AIC=7223.833\), which is model:(X1,X3,X4,X5,X6,X8,X10,X11) The smallest \(BIC=7259.454\), which is model:(X1,X3,X6,X8,X10,X11)
SSE = summary(models)$rss
which.min(SSE) #132## [1] 132summary(models)$which[which.min(SSE),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE TRUE TRUE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUEAIC = n*log(SSE)-n*log(n)+2*p
BIC = n*log(SSE)-n*log(n)+p*log(n)
which.min(AIC) #132## 8
## 132summary(models)$which[which.min(AIC),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE TRUE TRUE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUEwhich.min(BIC) #92## 6
## 92summary(models)$which[which.min(BIC),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE FALSE FALSE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUE#plot AIC,BIC
plot(p,AIC) # we can see the smallest AIC is p=9
plot(p,BIC) # we can see the smallest BIC is p=7
The smallest \(PRESS=111072298\), which is model:(X1,X3,X4,X5,X6,X8,X10,X11)
include = summary(models)$which[,-1]
m = dim(include)[1]
PRESS = rep(0,m)
for (i in 1:m){
temp = which(include[i,])
reg = lm(YM~., data=data.frame(cbind(YM,mydata[,temp])))
PRESS[i] = sum((reg$residuals/(1 - lm.influence(reg)$hat))^2)
}
which.min(PRESS) #132## [1] 132summary(models)$which[which.min(PRESS),]## (Intercept) experience weeks occupation1 industry1 south1
## TRUE TRUE FALSE TRUE TRUE TRUE
## smsa1 married1 gender1 union1 education ethnicity1
## TRUE FALSE TRUE FALSE TRUE TRUE#plot PRESS
plot(p, PRESS)
From each criterion, we select these two models:
#select the good models of first-order models.
i= 92
temp = which(include[i,])
sel1 = lm(YM~., data=data.frame(cbind(YM,mydata[,temp])))
i = 132
temp = which(include[i,])
sel2 = lm(YM~., data=data.frame(cbind(YM,mydata[,temp])))#########################################################################
##### Model selection: best subsets
##### First-order models and models with two-way interactions
#########################################################################
### models with two-way interactions
mydata2 = data.frame(cbind(YM,mydata[,1:11]))
model2= lm(YM~.^2, data=mydata2)
summary(model2)##
## Call:
## lm(formula = YM ~ .^2, data = mydata2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1003.8 -213.7 -25.9 155.1 3268.8
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -7.449e+02 1.487e+03 -0.501 0.61664
## experience 2.186e+01 2.186e+01 1.000 0.31781
## weeks 7.381e+00 2.940e+01 0.251 0.80189
## occupation1 -8.173e+02 6.627e+02 -1.233 0.21802
## industry1 2.166e+02 5.517e+02 0.393 0.69479
## south1 1.003e+03 5.313e+02 1.888 0.05955 .
## smsa1 5.009e+02 5.364e+02 0.934 0.35086
## married1 -1.478e+03 1.038e+03 -1.423 0.15528
## gender1 1.602e+03 1.001e+03 1.600 0.11020
## union1 1.208e+03 5.770e+02 2.093 0.03684 *
## education 3.464e+01 1.029e+02 0.337 0.73651
## ethnicity1 -6.543e+01 9.758e+02 -0.067 0.94656
## experience:weeks -4.651e-01 3.939e-01 -1.181 0.23829
## experience:occupation1 6.081e+00 4.780e+00 1.272 0.20392
## experience:industry1 -3.223e-01 3.787e+00 -0.085 0.93221
## experience:south1 -5.065e-01 4.384e+00 -0.116 0.90807
## experience:smsa1 1.078e+00 4.013e+00 0.269 0.78827
## experience:married1 -4.836e+00 6.813e+00 -0.710 0.47812
## experience:gender1 8.075e+00 9.447e+00 0.855 0.39307
## experience:union1 -3.395e+00 4.465e+00 -0.761 0.44728
## experience:education 3.091e-03 8.275e-01 0.004 0.99702
## experience:ethnicity1 -7.168e+00 7.676e+00 -0.934 0.35083
## weeks:occupation1 9.437e+00 1.228e+01 0.768 0.44255
## weeks:industry1 -2.022e+00 9.386e+00 -0.215 0.82953
## weeks:south1 -6.870e+00 8.753e+00 -0.785 0.43288
## weeks:smsa1 -8.398e+00 8.820e+00 -0.952 0.34145
## weeks:married1 3.987e+01 1.351e+01 2.950 0.00331 **
## weeks:gender1 -3.526e+01 1.601e+01 -2.202 0.02811 *
## weeks:union1 -1.277e+00 9.095e+00 -0.140 0.88838
## weeks:education 7.587e-01 2.019e+00 0.376 0.70726
## weeks:ethnicity1 1.135e+01 1.855e+01 0.612 0.54108
## occupation1:industry1 6.487e+00 1.085e+02 0.060 0.95235
## occupation1:south1 1.620e+01 1.121e+02 0.145 0.88513
## occupation1:smsa1 -2.445e+01 1.111e+02 -0.220 0.82593
## occupation1:married1 -9.027e+01 2.274e+02 -0.397 0.69158
## occupation1:gender1 6.534e+01 2.755e+02 0.237 0.81260
## occupation1:union1 -1.788e+02 1.160e+02 -1.542 0.12369
## occupation1:education 3.817e+01 2.016e+01 1.894 0.05884 .
## occupation1:ethnicity1 -1.025e+02 2.021e+02 -0.507 0.61216
## industry1:south1 -1.994e+02 9.559e+01 -2.086 0.03746 *
## industry1:smsa1 -1.316e+02 8.701e+01 -1.512 0.13108
## industry1:married1 5.612e+01 1.503e+02 0.373 0.70899
## industry1:gender1 -1.369e+02 2.262e+02 -0.605 0.54535
## industry1:union1 -2.160e+02 9.466e+01 -2.282 0.02291 *
## industry1:education 1.465e+01 1.974e+01 0.742 0.45843
## industry1:ethnicity1 1.919e+02 1.774e+02 1.082 0.27964
## south1:smsa1 -5.662e+01 9.249e+01 -0.612 0.54067
## south1:married1 -3.887e+01 1.566e+02 -0.248 0.80410
## south1:gender1 6.854e+01 1.953e+02 0.351 0.72571
## south1:union1 -8.530e+00 1.090e+02 -0.078 0.93767
## south1:education -5.219e+01 2.008e+01 -2.599 0.00960 **
## south1:ethnicity1 -1.411e+01 1.919e+02 -0.074 0.94142
## smsa1:married1 3.095e+01 1.464e+02 0.211 0.83261
## smsa1:gender1 1.894e+02 2.070e+02 0.915 0.36067
## smsa1:union1 -1.179e+02 9.857e+01 -1.196 0.23216
## smsa1:education -1.850e+00 1.996e+01 -0.093 0.92619
## smsa1:ethnicity1 -9.783e+01 2.832e+02 -0.345 0.72987
## married1:gender1 -1.612e+02 4.863e+02 -0.331 0.74046
## married1:union1 -1.814e+02 1.731e+02 -1.048 0.29491
## married1:education -8.903e-01 3.997e+01 -0.022 0.98224
## married1:ethnicity1 3.191e+02 2.915e+02 1.095 0.27420
## gender1:union1 1.514e+02 2.231e+02 0.679 0.49766
## gender1:education 4.197e+00 4.837e+01 0.087 0.93089
## gender1:ethnicity1 -5.803e+02 3.216e+02 -1.804 0.07177 .
## union1:education -6.275e+01 2.287e+01 -2.744 0.00629 **
## union1:ethnicity1 1.228e+02 1.846e+02 0.665 0.50637
## education:ethnicity1 -1.890e+01 3.739e+01 -0.505 0.61345
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 415.8 on 528 degrees of freedom
## Multiple R-squared: 0.455, Adjusted R-squared: 0.3869
## F-statistic: 6.679 on 66 and 528 DF, p-value: < 2.2e-16The smallest \(AIC=7175.75\), which is model: (X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X1X2,X1X3,X1X11,X2X3,X2X7,X2X8,X3X9,X3X10,X4X5,X4X6,X4X9,X4X11,X5X19,X6X8,X7X11,X8X11,X9X10)
#Use step to find the smallest AIC model
library(leaps)
models =lm(YM~.^2,mydata2)
stepwise=step(models)## Start: AIC=7239
## YM ~ (experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity)^2
##
## Df Sum of Sq RSS AIC
## - experience:education 1 2 91306975 7237.0
## - married:education 1 86 91307059 7237.0
## - occupation:industry 1 618 91307591 7237.0
## - south:ethnicity 1 935 91307908 7237.0
## - south:union 1 1058 91308031 7237.0
## - experience:industry 1 1253 91308226 7237.0
## - gender:education 1 1302 91308275 7237.0
## - smsa:education 1 1486 91308459 7237.0
## - experience:south 1 2308 91309281 7237.0
## - weeks:union 1 3410 91310383 7237.0
## - occupation:south 1 3613 91310586 7237.0
## - smsa:married 1 7733 91314706 7237.1
## - weeks:industry 1 8024 91314997 7237.1
## - occupation:smsa 1 8372 91315345 7237.1
## - occupation:gender 1 9729 91316702 7237.1
## - south:married 1 10650 91317623 7237.1
## - experience:smsa 1 12485 91319458 7237.1
## - married:gender 1 18994 91325967 7237.1
## - smsa:ethnicity 1 20640 91327613 7237.1
## - south:gender 1 21308 91328281 7237.1
## - industry:married 1 24114 91331087 7237.2
## - weeks:education 1 24415 91331388 7237.2
## - occupation:married 1 27245 91334218 7237.2
## - education:ethnicity 1 44180 91351154 7237.3
## - occupation:ethnicity 1 44502 91351475 7237.3
## - industry:gender 1 63323 91370296 7237.4
## - weeks:ethnicity 1 64682 91371655 7237.4
## - south:smsa 1 64812 91371785 7237.4
## - union:ethnicity 1 76462 91383435 7237.5
## - gender:union 1 79645 91386618 7237.5
## - experience:married 1 87133 91394106 7237.6
## - industry:education 1 95204 91402177 7237.6
## - experience:union 1 100023 91406996 7237.7
## - weeks:occupation 1 102123 91409096 7237.7
## - weeks:south 1 106528 91413501 7237.7
## - experience:gender 1 126347 91433320 7237.8
## - smsa:gender 1 144747 91451720 7237.9
## - experience:ethnicity 1 150793 91457767 7238.0
## - weeks:smsa 1 156782 91463756 7238.0
## - married:union 1 190094 91497067 7238.2
## - industry:ethnicity 1 202542 91509515 7238.3
## - married:ethnicity 1 207185 91514158 7238.3
## - experience:weeks 1 241038 91548011 7238.6
## - smsa:union 1 247436 91554409 7238.6
## - experience:occupation 1 279817 91586790 7238.8
## <none> 91306973 7239.0
## - industry:smsa 1 395448 91702421 7239.6
## - occupation:union 1 411142 91718115 7239.7
## - gender:ethnicity 1 562906 91869879 7240.7
## - occupation:education 1 620025 91926998 7241.0
## - industry:south 1 752501 92059474 7241.9
## - weeks:gender 1 838327 92145300 7242.4
## - industry:union 1 900259 92207232 7242.8
## - south:education 1 1168423 92475396 7244.6
## - union:education 1 1301618 92608591 7245.4
## - weeks:married 1 1505379 92812352 7246.7
##
## Step: AIC=7237
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:industry + occupation:south + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:union + south:education + south:ethnicity +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:education +
## married:ethnicity + gender:union + gender:education + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:education 1 84 91307059 7235.0
## - occupation:industry 1 620 91307596 7235.0
## - south:ethnicity 1 933 91307908 7235.0
## - south:union 1 1057 91308032 7235.0
## - experience:industry 1 1257 91308232 7235.0
## - gender:education 1 1303 91308279 7235.0
## - smsa:education 1 1484 91308459 7235.0
## - experience:south 1 2390 91309365 7235.0
## - weeks:union 1 3421 91310396 7235.0
## - occupation:south 1 3633 91310609 7235.0
## - smsa:married 1 7732 91314707 7235.1
## - weeks:industry 1 8022 91314997 7235.1
## - occupation:smsa 1 8374 91315349 7235.1
## - occupation:gender 1 9727 91316703 7235.1
## - south:married 1 10653 91317628 7235.1
## - experience:smsa 1 12807 91319783 7235.1
## - married:gender 1 19081 91326057 7235.1
## - smsa:ethnicity 1 20653 91327629 7235.1
## - south:gender 1 21384 91328360 7235.1
## - industry:married 1 24263 91331238 7235.2
## - weeks:education 1 24543 91331519 7235.2
## - occupation:married 1 27348 91334324 7235.2
## - education:ethnicity 1 44392 91351368 7235.3
## - occupation:ethnicity 1 44500 91351475 7235.3
## - industry:gender 1 63586 91370561 7235.4
## - south:smsa 1 64843 91371818 7235.4
## - weeks:ethnicity 1 64860 91371835 7235.4
## - union:ethnicity 1 76486 91383462 7235.5
## - gender:union 1 79660 91386636 7235.5
## - experience:married 1 87333 91394308 7235.6
## - industry:education 1 95350 91402326 7235.6
## - experience:union 1 101742 91408718 7235.7
## - weeks:occupation 1 102533 91409509 7235.7
## - weeks:south 1 107228 91414204 7235.7
## - experience:gender 1 127006 91433981 7235.8
## - smsa:gender 1 144756 91451731 7235.9
## - experience:ethnicity 1 150947 91457923 7236.0
## - weeks:smsa 1 156782 91463758 7236.0
## - married:union 1 190407 91497382 7236.2
## - industry:ethnicity 1 202927 91509903 7236.3
## - married:ethnicity 1 207392 91514367 7236.3
## - experience:weeks 1 241189 91548164 7236.6
## - smsa:union 1 247669 91554645 7236.6
## <none> 91306975 7237.0
## - industry:smsa 1 397490 91704466 7237.6
## - experience:occupation 1 410984 91717960 7237.7
## - occupation:union 1 422118 91729093 7237.7
## - gender:ethnicity 1 563265 91870240 7238.7
## - occupation:education 1 621310 91928286 7239.0
## - industry:south 1 754162 92061138 7239.9
## - weeks:gender 1 843006 92149982 7240.5
## - industry:union 1 904630 92211605 7240.9
## - south:education 1 1180347 92487322 7242.6
## - union:education 1 1318095 92625071 7243.5
## - weeks:married 1 1507936 92814912 7244.7
##
## Step: AIC=7235
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:industry + occupation:south + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:union + south:education + south:ethnicity +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:industry 1 655 91307714 7233.0
## - south:ethnicity 1 938 91307997 7233.0
## - south:union 1 1043 91308102 7233.0
## - experience:industry 1 1318 91308377 7233.0
## - smsa:education 1 1460 91308519 7233.0
## - gender:education 1 2086 91309145 7233.0
## - experience:south 1 2376 91309435 7233.0
## - weeks:union 1 3408 91310467 7233.0
## - occupation:south 1 3698 91310757 7233.0
## - smsa:married 1 7696 91314755 7233.1
## - weeks:industry 1 8185 91315244 7233.1
## - occupation:smsa 1 8455 91315514 7233.1
## - south:married 1 10656 91317715 7233.1
## - experience:smsa 1 12992 91320051 7233.1
## - occupation:gender 1 15753 91322812 7233.1
## - married:gender 1 18998 91326057 7233.1
## - smsa:ethnicity 1 20570 91327629 7233.1
## - south:gender 1 21398 91328457 7233.1
## - weeks:education 1 24626 91331685 7233.2
## - industry:married 1 26885 91333944 7233.2
## - education:ethnicity 1 44479 91351538 7233.3
## - occupation:ethnicity 1 44751 91351810 7233.3
## - occupation:married 1 60906 91367965 7233.4
## - south:smsa 1 64928 91371987 7233.4
## - industry:gender 1 66135 91373194 7233.4
## - weeks:ethnicity 1 66321 91373380 7233.4
## - union:ethnicity 1 76698 91383757 7233.5
## - gender:union 1 79751 91386810 7233.5
## - experience:married 1 89098 91396157 7233.6
## - industry:education 1 95307 91402366 7233.6
## - experience:union 1 101844 91408903 7233.7
## - weeks:occupation 1 102452 91409511 7233.7
## - weeks:south 1 107633 91414692 7233.7
## - experience:gender 1 127691 91434750 7233.8
## - smsa:gender 1 144694 91451753 7233.9
## - experience:ethnicity 1 151353 91458412 7234.0
## - weeks:smsa 1 156729 91463788 7234.0
## - married:union 1 190406 91497465 7234.2
## - industry:ethnicity 1 202860 91509919 7234.3
## - married:ethnicity 1 236420 91543479 7234.5
## - experience:weeks 1 242203 91549262 7234.6
## - smsa:union 1 247678 91554737 7234.6
## <none> 91307059 7235.0
## - industry:smsa 1 397407 91704467 7235.6
## - experience:occupation 1 410932 91717991 7235.7
## - occupation:union 1 422222 91729281 7235.7
## - gender:ethnicity 1 621670 91928729 7237.0
## - occupation:education 1 621762 91928821 7237.0
## - industry:south 1 755862 92062921 7237.9
## - weeks:gender 1 843241 92150300 7238.5
## - industry:union 1 904547 92211606 7238.9
## - south:education 1 1180683 92487742 7240.6
## - union:education 1 1319487 92626546 7241.5
## - weeks:married 1 1514222 92821281 7242.8
##
## Step: AIC=7233
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:union +
## south:education + south:ethnicity + smsa:married + smsa:gender +
## smsa:union + smsa:education + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:education +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:ethnicity 1 894 91308609 7231.0
## - south:union 1 1100 91308815 7231.0
## - experience:industry 1 1131 91308845 7231.0
## - smsa:education 1 1302 91309017 7231.0
## - gender:education 1 1747 91309461 7231.0
## - experience:south 1 2243 91309958 7231.0
## - weeks:union 1 3477 91311191 7231.0
## - occupation:south 1 3543 91311257 7231.0
## - smsa:married 1 7559 91315274 7231.1
## - weeks:industry 1 8188 91315903 7231.1
## - occupation:smsa 1 8340 91316054 7231.1
## - south:married 1 10496 91318211 7231.1
## - experience:smsa 1 13368 91321082 7231.1
## - occupation:gender 1 16780 91324494 7231.1
## - married:gender 1 19004 91326719 7231.1
## - smsa:ethnicity 1 20751 91328465 7231.1
## - south:gender 1 21158 91328872 7231.1
## - weeks:education 1 25791 91333505 7231.2
## - industry:married 1 26940 91334654 7231.2
## - occupation:ethnicity 1 44209 91351924 7231.3
## - education:ethnicity 1 45216 91352931 7231.3
## - occupation:married 1 60251 91367966 7231.4
## - south:smsa 1 64518 91372232 7231.4
## - industry:gender 1 65577 91373291 7231.4
## - weeks:ethnicity 1 67968 91375683 7231.4
## - union:ethnicity 1 77438 91385153 7231.5
## - gender:union 1 79225 91386939 7231.5
## - experience:married 1 89676 91397391 7231.6
## - weeks:occupation 1 101939 91409653 7231.7
## - experience:union 1 102977 91410692 7231.7
## - weeks:south 1 108557 91416272 7231.7
## - experience:gender 1 128598 91436312 7231.8
## - industry:education 1 143217 91450931 7231.9
## - smsa:gender 1 144843 91452557 7231.9
## - experience:ethnicity 1 152497 91460211 7232.0
## - weeks:smsa 1 156504 91464219 7232.0
## - married:union 1 189990 91497704 7232.2
## - industry:ethnicity 1 203710 91511424 7232.3
## - married:ethnicity 1 237397 91545111 7232.5
## - experience:weeks 1 243623 91551337 7232.6
## - smsa:union 1 248743 91556458 7232.6
## <none> 91307714 7233.0
## - industry:smsa 1 397791 91705505 7233.6
## - experience:occupation 1 412653 91720368 7233.7
## - occupation:union 1 426855 91734570 7233.8
## - occupation:education 1 621645 91929359 7235.0
## - gender:ethnicity 1 626490 91934205 7235.1
## - industry:south 1 758603 92066317 7235.9
## - weeks:gender 1 842590 92150305 7236.5
## - industry:union 1 1034938 92342652 7237.7
## - south:education 1 1181633 92489348 7238.7
## - union:education 1 1332643 92640357 7239.6
## - weeks:married 1 1513613 92821327 7240.8
##
## Step: AIC=7231.01
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:union +
## south:education + smsa:married + smsa:gender + smsa:union +
## smsa:education + smsa:ethnicity + married:gender + married:union +
## married:ethnicity + gender:union + gender:education + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:union 1 1105 91309714 7229.0
## - experience:industry 1 1117 91309726 7229.0
## - smsa:education 1 1252 91309861 7229.0
## - gender:education 1 1727 91310335 7229.0
## - experience:south 1 2552 91311161 7229.0
## - weeks:union 1 3354 91311963 7229.0
## - occupation:south 1 3740 91312349 7229.0
## - smsa:married 1 7467 91316076 7229.1
## - weeks:industry 1 7787 91316396 7229.1
## - occupation:smsa 1 8195 91316804 7229.1
## - south:married 1 10035 91318644 7229.1
## - experience:smsa 1 13158 91321767 7229.1
## - occupation:gender 1 16014 91324622 7229.1
## - married:gender 1 19165 91327774 7229.1
## - south:gender 1 22202 91330811 7229.2
## - smsa:ethnicity 1 22937 91331546 7229.2
## - industry:married 1 26432 91335041 7229.2
## - weeks:education 1 27066 91335675 7229.2
## - occupation:ethnicity 1 45927 91354535 7229.3
## - education:ethnicity 1 46242 91354851 7229.3
## - occupation:married 1 59706 91368315 7229.4
## - industry:gender 1 66906 91375515 7229.4
## - weeks:ethnicity 1 69598 91378207 7229.5
## - south:smsa 1 72426 91381035 7229.5
## - gender:union 1 78677 91387286 7229.5
## - union:ethnicity 1 89603 91398212 7229.6
## - experience:married 1 90060 91398668 7229.6
## - weeks:occupation 1 101177 91409786 7229.7
## - experience:union 1 102250 91410859 7229.7
## - weeks:south 1 107679 91416288 7229.7
## - experience:gender 1 128151 91436760 7229.8
## - industry:education 1 144749 91453358 7230.0
## - smsa:gender 1 146220 91454828 7230.0
## - weeks:smsa 1 156815 91465423 7230.0
## - experience:ethnicity 1 162705 91471314 7230.1
## - married:union 1 192822 91501431 7230.3
## - industry:ethnicity 1 204624 91513233 7230.3
## - experience:weeks 1 243385 91551994 7230.6
## - smsa:union 1 248153 91556762 7230.6
## - married:ethnicity 1 255771 91564380 7230.7
## <none> 91308609 7231.0
## - industry:smsa 1 400501 91709110 7231.6
## - experience:occupation 1 411762 91720371 7231.7
## - occupation:union 1 437048 91745657 7231.9
## - occupation:education 1 623737 91932346 7233.1
## - gender:ethnicity 1 634497 91943106 7233.1
## - industry:south 1 758484 92067092 7233.9
## - weeks:gender 1 896795 92205403 7234.8
## - industry:union 1 1034530 92343138 7235.7
## - south:education 1 1182880 92491489 7236.7
## - union:education 1 1332718 92641327 7237.6
## - weeks:married 1 1570636 92879244 7239.2
##
## Step: AIC=7229.02
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:industry 1 1087 91310801 7227.0
## - smsa:education 1 1422 91311135 7227.0
## - gender:education 1 1727 91311440 7227.0
## - experience:south 1 2304 91312018 7227.0
## - weeks:union 1 3183 91312897 7227.0
## - occupation:south 1 5314 91315028 7227.1
## - occupation:smsa 1 7325 91317038 7227.1
## - weeks:industry 1 7561 91317274 7227.1
## - smsa:married 1 7616 91317330 7227.1
## - south:married 1 10679 91320393 7227.1
## - experience:smsa 1 13141 91322854 7227.1
## - occupation:gender 1 15627 91325340 7227.1
## - married:gender 1 18935 91328649 7227.1
## - south:gender 1 21354 91331067 7227.2
## - smsa:ethnicity 1 22401 91332115 7227.2
## - industry:married 1 25952 91335665 7227.2
## - weeks:education 1 27745 91337458 7227.2
## - education:ethnicity 1 47106 91356819 7227.3
## - occupation:ethnicity 1 48537 91358251 7227.3
## - occupation:married 1 59072 91368786 7227.4
## - industry:gender 1 66784 91376498 7227.5
## - weeks:ethnicity 1 70281 91379994 7227.5
## - south:smsa 1 74168 91383881 7227.5
## - gender:union 1 77574 91387288 7227.5
## - union:ethnicity 1 88632 91398345 7227.6
## - experience:married 1 92173 91401886 7227.6
## - weeks:occupation 1 100385 91410098 7227.7
## - experience:union 1 101329 91411043 7227.7
## - weeks:south 1 107123 91416836 7227.7
## - experience:gender 1 128486 91438199 7227.9
## - industry:education 1 143665 91453378 7228.0
## - smsa:gender 1 146103 91455816 7228.0
## - weeks:smsa 1 158735 91468448 7228.1
## - experience:ethnicity 1 162464 91472178 7228.1
## - married:union 1 192607 91502321 7228.3
## - industry:ethnicity 1 204550 91514263 7228.3
## - experience:weeks 1 243451 91553164 7228.6
## - smsa:union 1 252834 91562548 7228.7
## - married:ethnicity 1 258376 91568089 7228.7
## <none> 91309714 7229.0
## - industry:smsa 1 407013 91716727 7229.7
## - experience:occupation 1 422158 91731872 7229.8
## - occupation:union 1 447226 91756939 7229.9
## - occupation:education 1 630284 91939997 7231.1
## - gender:ethnicity 1 634198 91943911 7231.1
## - industry:south 1 766957 92076671 7232.0
## - weeks:gender 1 898271 92207985 7232.8
## - industry:union 1 1033427 92343140 7233.7
## - south:education 1 1190365 92500078 7234.7
## - union:education 1 1380414 92690128 7235.9
## - weeks:married 1 1570625 92880339 7237.2
##
## Step: AIC=7227.02
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:south + experience:smsa +
## experience:married + experience:gender + experience:union +
## experience:ethnicity + weeks:occupation + weeks:industry +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:union + weeks:education + weeks:ethnicity + occupation:south +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:education 1 1342 91312143 7225.0
## - gender:education 1 1666 91312467 7225.0
## - experience:south 1 1838 91312638 7225.0
## - weeks:union 1 3087 91313888 7225.0
## - occupation:south 1 5086 91315886 7225.1
## - weeks:industry 1 7030 91317830 7225.1
## - smsa:married 1 7557 91318358 7225.1
## - occupation:smsa 1 7717 91318518 7225.1
## - south:married 1 11108 91321909 7225.1
## - experience:smsa 1 13292 91324093 7225.1
## - occupation:gender 1 15599 91326400 7225.1
## - married:gender 1 19115 91329915 7225.1
## - south:gender 1 21809 91332609 7225.2
## - smsa:ethnicity 1 22234 91333034 7225.2
## - industry:married 1 25124 91335925 7225.2
## - weeks:education 1 27583 91338384 7225.2
## - education:ethnicity 1 47495 91358296 7225.3
## - occupation:ethnicity 1 48161 91358961 7225.3
## - occupation:married 1 60106 91370907 7225.4
## - industry:gender 1 66629 91377429 7225.5
## - weeks:ethnicity 1 69830 91380631 7225.5
## - south:smsa 1 74029 91384830 7225.5
## - gender:union 1 78783 91389583 7225.5
## - union:ethnicity 1 87983 91398784 7225.6
## - experience:married 1 92371 91403171 7225.6
## - weeks:occupation 1 101606 91412407 7225.7
## - experience:union 1 102933 91413734 7225.7
## - weeks:south 1 106514 91417314 7225.7
## - experience:gender 1 127800 91438600 7225.9
## - smsa:gender 1 146555 91457356 7226.0
## - industry:education 1 158263 91469064 7226.1
## - weeks:smsa 1 159069 91469869 7226.1
## - experience:ethnicity 1 161453 91472253 7226.1
## - married:union 1 194039 91504839 7226.3
## - industry:ethnicity 1 204282 91515082 7226.4
## - experience:weeks 1 242367 91553167 7226.6
## - smsa:union 1 251810 91562611 7226.7
## - married:ethnicity 1 260542 91571342 7226.7
## <none> 91310801 7227.0
## - industry:smsa 1 421468 91732269 7227.8
## - experience:occupation 1 436887 91747688 7227.9
## - occupation:union 1 446139 91756939 7227.9
## - occupation:education 1 629812 91940613 7229.1
## - gender:ethnicity 1 636293 91947094 7229.2
## - industry:south 1 768557 92079357 7230.0
## - weeks:gender 1 898368 92209169 7230.9
## - industry:union 1 1037784 92348585 7231.7
## - south:education 1 1189279 92500079 7232.7
## - union:education 1 1385837 92696637 7234.0
## - weeks:married 1 1572634 92883435 7235.2
##
## Step: AIC=7225.03
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:south + experience:smsa +
## experience:married + experience:gender + experience:union +
## experience:ethnicity + weeks:occupation + weeks:industry +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:union + weeks:education + weeks:ethnicity + occupation:south +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:education + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:south 1 1717 91313860 7223.0
## - gender:education 1 1905 91314048 7223.0
## - weeks:union 1 3051 91315194 7223.1
## - occupation:south 1 4334 91316477 7223.1
## - weeks:industry 1 7045 91319187 7223.1
## - smsa:married 1 7313 91319455 7223.1
## - south:married 1 11262 91323404 7223.1
## - occupation:gender 1 15426 91327569 7223.1
## - experience:smsa 1 16694 91328837 7223.1
## - occupation:smsa 1 17469 91329612 7223.1
## - married:gender 1 18927 91331070 7223.2
## - smsa:ethnicity 1 21150 91333292 7223.2
## - south:gender 1 21720 91333863 7223.2
## - industry:married 1 24906 91337049 7223.2
## - weeks:education 1 27314 91339457 7223.2
## - occupation:ethnicity 1 47067 91359210 7223.3
## - education:ethnicity 1 53868 91366011 7223.4
## - occupation:married 1 60788 91372931 7223.4
## - industry:gender 1 66322 91378465 7223.5
## - weeks:ethnicity 1 69706 91381849 7223.5
## - south:smsa 1 72725 91384868 7223.5
## - gender:union 1 77765 91389908 7223.5
## - union:ethnicity 1 87305 91399448 7223.6
## - experience:married 1 91564 91403707 7223.6
## - weeks:occupation 1 101710 91413853 7223.7
## - experience:union 1 103284 91415427 7223.7
## - weeks:south 1 105397 91417540 7223.7
## - experience:gender 1 127824 91439967 7223.9
## - smsa:gender 1 145532 91457675 7224.0
## - industry:education 1 157406 91469549 7224.1
## - weeks:smsa 1 157727 91469870 7224.1
## - experience:ethnicity 1 163042 91475185 7224.1
## - married:union 1 193490 91505633 7224.3
## - industry:ethnicity 1 204054 91516197 7224.4
## - experience:weeks 1 242817 91554960 7224.6
## - smsa:union 1 250961 91563104 7224.7
## - married:ethnicity 1 262066 91574209 7224.7
## <none> 91312143 7225.0
## - industry:smsa 1 423467 91735609 7225.8
## - experience:occupation 1 435581 91747724 7225.9
## - occupation:union 1 444852 91756995 7225.9
## - gender:ethnicity 1 636551 91948694 7227.2
## - occupation:education 1 652919 91965062 7227.3
## - industry:south 1 776195 92088338 7228.1
## - weeks:gender 1 897093 92209236 7228.9
## - industry:union 1 1036806 92348949 7229.8
## - south:education 1 1239977 92552120 7231.1
## - union:education 1 1397651 92709794 7232.1
## - weeks:married 1 1571293 92883435 7233.2
##
## Step: AIC=7223.04
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:union + weeks:education +
## weeks:ethnicity + occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:education + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - gender:education 1 1745 91315605 7221.1
## - weeks:union 1 2552 91316412 7221.1
## - occupation:south 1 4081 91317941 7221.1
## - weeks:industry 1 7273 91321133 7221.1
## - smsa:married 1 7344 91321204 7221.1
## - south:married 1 12279 91326139 7221.1
## - occupation:gender 1 15768 91329628 7221.1
## - occupation:smsa 1 17485 91331344 7221.2
## - married:gender 1 17811 91331670 7221.2
## - experience:smsa 1 19356 91333216 7221.2
## - south:gender 1 21269 91335128 7221.2
## - smsa:ethnicity 1 21986 91335846 7221.2
## - industry:married 1 24403 91338263 7221.2
## - weeks:education 1 28395 91342254 7221.2
## - occupation:ethnicity 1 46884 91360744 7221.4
## - education:ethnicity 1 55145 91369005 7221.4
## - occupation:married 1 62542 91376402 7221.5
## - industry:gender 1 65614 91379473 7221.5
## - weeks:ethnicity 1 69275 91383135 7221.5
## - south:smsa 1 74376 91388236 7221.5
## - gender:union 1 78727 91392587 7221.6
## - experience:married 1 90246 91404106 7221.6
## - union:ethnicity 1 91101 91404961 7221.6
## - weeks:occupation 1 101362 91415222 7221.7
## - experience:union 1 102218 91416078 7221.7
## - weeks:south 1 104300 91418160 7221.7
## - experience:gender 1 126269 91440129 7221.9
## - smsa:gender 1 145837 91459697 7222.0
## - industry:education 1 156397 91470257 7222.1
## - weeks:smsa 1 157214 91471074 7222.1
## - experience:ethnicity 1 179239 91493099 7222.2
## - married:union 1 199058 91512918 7222.3
## - industry:ethnicity 1 204337 91518197 7222.4
## - experience:weeks 1 241536 91555396 7222.6
## - smsa:union 1 252694 91566554 7222.7
## - married:ethnicity 1 261860 91575719 7222.7
## <none> 91313860 7223.0
## - industry:smsa 1 423650 91737509 7223.8
## - experience:occupation 1 440113 91753972 7223.9
## - occupation:union 1 445680 91759540 7223.9
## - gender:ethnicity 1 638664 91952524 7225.2
## - occupation:education 1 655286 91969146 7225.3
## - industry:south 1 775025 92088885 7226.1
## - weeks:gender 1 895377 92209236 7226.9
## - industry:union 1 1035201 92349061 7227.8
## - south:education 1 1304488 92618348 7229.5
## - union:education 1 1403408 92717268 7230.1
## - weeks:married 1 1571747 92885606 7231.2
##
## Step: AIC=7221.06
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:union + weeks:education +
## weeks:ethnicity + occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:union 1 2668 91318272 7219.1
## - occupation:south 1 4367 91319972 7219.1
## - weeks:industry 1 6825 91322429 7219.1
## - smsa:married 1 7490 91323095 7219.1
## - south:married 1 12573 91328178 7219.1
## - married:gender 1 16938 91332542 7219.2
## - occupation:smsa 1 16950 91332555 7219.2
## - experience:smsa 1 19484 91335088 7219.2
## - smsa:ethnicity 1 21367 91336972 7219.2
## - south:gender 1 21664 91337269 7219.2
## - occupation:gender 1 24385 91339990 7219.2
## - industry:married 1 24408 91340012 7219.2
## - weeks:education 1 30894 91346498 7219.3
## - occupation:ethnicity 1 45308 91360913 7219.4
## - education:ethnicity 1 59815 91375420 7219.4
## - occupation:married 1 62958 91378563 7219.5
## - industry:gender 1 64608 91380213 7219.5
## - weeks:ethnicity 1 69280 91384884 7219.5
## - south:smsa 1 74123 91389728 7219.5
## - gender:union 1 81714 91397318 7219.6
## - experience:married 1 90675 91406280 7219.6
## - union:ethnicity 1 91061 91406666 7219.6
## - weeks:occupation 1 100261 91415865 7219.7
## - experience:union 1 103019 91418623 7219.7
## - weeks:south 1 104522 91420126 7219.7
## - experience:gender 1 125629 91441233 7219.9
## - smsa:gender 1 148130 91463734 7220.0
## - weeks:smsa 1 156892 91472496 7220.1
## - industry:education 1 166052 91481657 7220.1
## - experience:ethnicity 1 181902 91497507 7220.2
## - married:union 1 199765 91515370 7220.4
## - industry:ethnicity 1 202699 91518303 7220.4
## - experience:weeks 1 247836 91563441 7220.7
## - smsa:union 1 250959 91566563 7220.7
## - married:ethnicity 1 272586 91588190 7220.8
## <none> 91315605 7221.1
## - industry:smsa 1 425397 91741002 7221.8
## - experience:occupation 1 440749 91756353 7221.9
## - occupation:union 1 451247 91766851 7222.0
## - occupation:education 1 654644 91970249 7223.3
## - gender:ethnicity 1 668144 91983749 7223.4
## - industry:south 1 773281 92088886 7224.1
## - weeks:gender 1 897886 92213491 7224.9
## - industry:union 1 1034299 92349904 7225.8
## - south:education 1 1307257 92622861 7227.5
## - union:education 1 1402900 92718505 7228.1
## - weeks:married 1 1571155 92886760 7229.2
##
## Step: AIC=7219.07
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:south 1 3893 91322166 7217.1
## - weeks:industry 1 6916 91325189 7217.1
## - smsa:married 1 7675 91325947 7217.1
## - south:married 1 12776 91331048 7217.2
## - married:gender 1 17144 91335417 7217.2
## - experience:smsa 1 17755 91336028 7217.2
## - occupation:smsa 1 18227 91336499 7217.2
## - smsa:ethnicity 1 21099 91339371 7217.2
## - south:gender 1 21461 91339733 7217.2
## - occupation:gender 1 24316 91342588 7217.2
## - industry:married 1 25173 91343445 7217.2
## - weeks:education 1 32162 91350434 7217.3
## - occupation:ethnicity 1 45552 91363825 7217.4
## - education:ethnicity 1 59925 91378197 7217.5
## - industry:gender 1 64148 91382421 7217.5
## - occupation:married 1 64380 91382652 7217.5
## - weeks:ethnicity 1 74558 91392830 7217.6
## - south:smsa 1 75658 91393930 7217.6
## - gender:union 1 79966 91398238 7217.6
## - experience:married 1 90317 91408589 7217.7
## - union:ethnicity 1 90694 91408967 7217.7
## - experience:union 1 100497 91418770 7217.7
## - weeks:south 1 101897 91420169 7217.7
## - weeks:occupation 1 116904 91435176 7217.8
## - experience:gender 1 124392 91442664 7217.9
## - smsa:gender 1 148530 91466802 7218.0
## - industry:education 1 165536 91483808 7218.2
## - experience:ethnicity 1 181221 91499493 7218.3
## - weeks:smsa 1 200247 91518520 7218.4
## - industry:ethnicity 1 200951 91519223 7218.4
## - married:union 1 203103 91521376 7218.4
## - experience:weeks 1 245208 91563481 7218.7
## - smsa:union 1 271016 91589289 7218.8
## - married:ethnicity 1 273184 91591456 7218.9
## <none> 91318272 7219.1
## - industry:smsa 1 422790 91741062 7219.8
## - experience:occupation 1 443420 91761692 7220.0
## - occupation:union 1 448761 91767034 7220.0
## - occupation:education 1 660097 91978370 7221.4
## - gender:ethnicity 1 667219 91985491 7221.4
## - industry:south 1 772424 92090696 7222.1
## - weeks:gender 1 900033 92218305 7222.9
## - industry:union 1 1033007 92351279 7223.8
## - south:education 1 1307956 92626228 7225.5
## - union:education 1 1408689 92726961 7226.2
## - weeks:married 1 1586335 92904608 7227.3
##
## Step: AIC=7217.1
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:married 1 7707 91329872 7215.1
## - weeks:industry 1 7809 91329974 7215.1
## - south:married 1 12580 91334746 7215.2
## - married:gender 1 17096 91339261 7215.2
## - experience:smsa 1 17273 91339439 7215.2
## - occupation:smsa 1 20465 91342631 7215.2
## - south:gender 1 20777 91342942 7215.2
## - smsa:ethnicity 1 22236 91344402 7215.2
## - occupation:gender 1 24075 91346241 7215.3
## - industry:married 1 24991 91347157 7215.3
## - weeks:education 1 33460 91355626 7215.3
## - occupation:ethnicity 1 42773 91364938 7215.4
## - education:ethnicity 1 60640 91382806 7215.5
## - occupation:married 1 63679 91385845 7215.5
## - industry:gender 1 63934 91386100 7215.5
## - south:smsa 1 72845 91395011 7215.6
## - weeks:ethnicity 1 77439 91399605 7215.6
## - gender:union 1 79870 91402036 7215.6
## - experience:married 1 89189 91411354 7215.7
## - union:ethnicity 1 95765 91417931 7215.7
## - experience:union 1 101071 91423237 7215.8
## - weeks:south 1 101856 91424022 7215.8
## - weeks:occupation 1 114285 91436450 7215.8
## - experience:gender 1 123614 91445779 7215.9
## - smsa:gender 1 149012 91471178 7216.1
## - industry:education 1 162028 91484194 7216.2
## - experience:ethnicity 1 180620 91502786 7216.3
## - weeks:smsa 1 200350 91522515 7216.4
## - married:union 1 202554 91524720 7216.4
## - industry:ethnicity 1 204837 91527003 7216.4
## - experience:weeks 1 243664 91565830 7216.7
## - married:ethnicity 1 269662 91591827 7216.9
## - smsa:union 1 282666 91604831 7216.9
## <none> 91322166 7217.1
## - industry:smsa 1 424610 91746776 7217.9
## - experience:occupation 1 442474 91764640 7218.0
## - occupation:union 1 473189 91795355 7218.2
## - occupation:education 1 657721 91979886 7219.4
## - gender:ethnicity 1 664937 91987103 7219.4
## - industry:south 1 810849 92133015 7220.4
## - weeks:gender 1 898963 92221129 7220.9
## - industry:union 1 1041789 92363954 7221.8
## - union:education 1 1413780 92735945 7224.2
## - weeks:married 1 1586977 92909143 7225.3
## - south:education 1 1743189 93065355 7226.3
##
## Step: AIC=7215.15
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:industry 1 6887 91336760 7213.2
## - south:married 1 16580 91346452 7213.3
## - occupation:smsa 1 19084 91348957 7213.3
## - married:gender 1 19348 91349220 7213.3
## - experience:smsa 1 19445 91349317 7213.3
## - occupation:gender 1 20812 91350684 7213.3
## - industry:married 1 21738 91351611 7213.3
## - smsa:ethnicity 1 23180 91353052 7213.3
## - south:gender 1 24786 91354659 7213.3
## - weeks:education 1 34402 91364275 7213.4
## - occupation:ethnicity 1 45208 91375080 7213.4
## - occupation:married 1 57552 91387424 7213.5
## - industry:gender 1 61581 91391454 7213.6
## - education:ethnicity 1 62296 91392168 7213.6
## - south:smsa 1 75320 91405193 7213.6
## - weeks:ethnicity 1 75641 91405513 7213.6
## - gender:union 1 78207 91408080 7213.7
## - experience:married 1 90993 91420865 7213.7
## - union:ethnicity 1 93786 91423658 7213.8
## - weeks:south 1 97734 91427607 7213.8
## - experience:union 1 101107 91430979 7213.8
## - weeks:occupation 1 115334 91445207 7213.9
## - experience:gender 1 125634 91455506 7214.0
## - industry:education 1 160208 91490081 7214.2
## - experience:ethnicity 1 182456 91512329 7214.3
## - weeks:smsa 1 196729 91526602 7214.4
## - married:union 1 199085 91528957 7214.4
## - industry:ethnicity 1 202175 91532047 7214.5
## - experience:weeks 1 240350 91570222 7214.7
## - smsa:union 1 277162 91607034 7215.0
## - married:ethnicity 1 280645 91610518 7215.0
## <none> 91329872 7215.1
## - smsa:gender 1 334544 91664417 7215.3
## - industry:smsa 1 429397 91759269 7215.9
## - experience:occupation 1 441514 91771387 7216.0
## - occupation:union 1 474188 91804060 7216.2
## - occupation:education 1 661204 91991077 7217.4
## - gender:ethnicity 1 675499 92005371 7217.5
## - industry:south 1 835478 92165351 7218.6
## - weeks:gender 1 922055 92251927 7219.1
## - industry:union 1 1034239 92364112 7219.8
## - union:education 1 1420257 92750129 7222.3
## - weeks:married 1 1629901 92959773 7223.7
## - south:education 1 1740631 93070503 7224.4
##
## Step: AIC=7213.19
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:married 1 18218 91354977 7211.3
## - occupation:gender 1 19000 91355759 7211.3
## - experience:smsa 1 19446 91356206 7211.3
## - occupation:smsa 1 19826 91356585 7211.3
## - married:gender 1 20235 91356994 7211.3
## - smsa:ethnicity 1 21306 91358066 7211.3
## - industry:married 1 21721 91358480 7211.3
## - south:gender 1 25794 91362554 7211.4
## - weeks:education 1 43083 91379842 7211.5
## - occupation:ethnicity 1 47833 91384593 7211.5
## - occupation:married 1 58036 91394796 7211.6
## - education:ethnicity 1 61386 91398146 7211.6
## - industry:gender 1 66112 91402871 7211.6
## - south:smsa 1 75172 91411932 7211.7
## - gender:union 1 77329 91414089 7211.7
## - weeks:ethnicity 1 92263 91429022 7211.8
## - experience:married 1 93796 91430555 7211.8
## - union:ethnicity 1 94576 91431335 7211.8
## - experience:union 1 102818 91439578 7211.9
## - weeks:south 1 109013 91445772 7211.9
## - experience:gender 1 130727 91467487 7212.0
## - weeks:occupation 1 141885 91478644 7212.1
## - industry:education 1 160715 91497474 7212.2
## - experience:ethnicity 1 184771 91521530 7212.4
## - married:union 1 197558 91534318 7212.5
## - industry:ethnicity 1 199423 91536182 7212.5
## - weeks:smsa 1 239991 91576750 7212.8
## - experience:weeks 1 255997 91592757 7212.9
## - smsa:union 1 275402 91612162 7213.0
## - married:ethnicity 1 288277 91625037 7213.1
## <none> 91336760 7213.2
## - smsa:gender 1 340671 91677431 7213.4
## - industry:smsa 1 434038 91770797 7214.0
## - experience:occupation 1 441980 91778740 7214.1
## - occupation:union 1 468187 91804946 7214.2
## - occupation:education 1 655228 91991988 7215.4
## - gender:ethnicity 1 688291 92025051 7215.7
## - industry:south 1 828621 92165381 7216.6
## - industry:union 1 1030914 92367673 7217.9
## - weeks:gender 1 1037751 92374511 7217.9
## - union:education 1 1425423 92762183 7220.4
## - weeks:married 1 1681076 93017835 7222.0
## - south:education 1 1737991 93074750 7222.4
##
## Step: AIC=7211.31
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:gender +
## south:education + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:gender 1 8466 91363443 7209.4
## - married:gender 1 14175 91369152 7209.4
## - occupation:smsa 1 17451 91372428 7209.4
## - occupation:gender 1 17785 91372762 7209.4
## - experience:smsa 1 21326 91376304 7209.5
## - industry:married 1 23414 91378392 7209.5
## - smsa:ethnicity 1 23464 91378441 7209.5
## - weeks:education 1 40262 91395239 7209.6
## - occupation:ethnicity 1 44127 91399104 7209.6
## - occupation:married 1 53796 91408773 7209.7
## - education:ethnicity 1 63419 91418397 7209.7
## - gender:union 1 65883 91420860 7209.7
## - industry:gender 1 67062 91422040 7209.7
## - south:smsa 1 68430 91423407 7209.8
## - union:ethnicity 1 100691 91455668 7210.0
## - weeks:ethnicity 1 104000 91458977 7210.0
## - experience:married 1 107638 91462615 7210.0
## - experience:union 1 111593 91466570 7210.0
## - weeks:south 1 119708 91474685 7210.1
## - experience:gender 1 144513 91499490 7210.3
## - weeks:occupation 1 151510 91506487 7210.3
## - industry:education 1 152457 91507434 7210.3
## - married:union 1 179368 91534346 7210.5
## - experience:ethnicity 1 186211 91541188 7210.5
## - industry:ethnicity 1 195886 91550864 7210.6
## - weeks:smsa 1 247851 91602828 7210.9
## - smsa:union 1 262745 91617722 7211.0
## - experience:weeks 1 265322 91620300 7211.0
## - married:ethnicity 1 270866 91625844 7211.1
## <none> 91354977 7211.3
## - smsa:gender 1 336089 91691066 7211.5
## - industry:smsa 1 422427 91777404 7212.1
## - experience:occupation 1 433262 91788239 7212.1
## - occupation:union 1 466110 91821087 7212.3
## - occupation:education 1 664273 92019250 7213.6
## - gender:ethnicity 1 671907 92026885 7213.7
## - industry:south 1 836437 92191414 7214.7
## - weeks:gender 1 1032352 92387329 7216.0
## - industry:union 1 1037249 92392226 7216.0
## - union:education 1 1421036 92776014 7218.5
## - weeks:married 1 1691530 93046507 7220.2
## - south:education 1 1733563 93088540 7220.5
##
## Step: AIC=7209.37
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:gender 1 11110 91374554 7207.4
## - occupation:smsa 1 17997 91381441 7207.5
## - experience:smsa 1 20351 91383795 7207.5
## - occupation:gender 1 21238 91384681 7207.5
## - industry:married 1 23339 91386782 7207.5
## - smsa:ethnicity 1 23903 91387346 7207.5
## - weeks:education 1 39669 91403112 7207.6
## - occupation:ethnicity 1 44510 91407954 7207.7
## - occupation:married 1 55041 91418484 7207.7
## - gender:union 1 58337 91421780 7207.7
## - education:ethnicity 1 64554 91427998 7207.8
## - industry:gender 1 65162 91428605 7207.8
## - south:smsa 1 76986 91440430 7207.9
## - union:ethnicity 1 101496 91464939 7208.0
## - weeks:ethnicity 1 107353 91470797 7208.1
## - experience:union 1 109257 91472700 7208.1
## - experience:married 1 109660 91473103 7208.1
## - weeks:south 1 115876 91479319 7208.1
## - experience:gender 1 140512 91503955 7208.3
## - weeks:occupation 1 149829 91513273 7208.3
## - industry:education 1 158477 91521920 7208.4
## - married:union 1 180649 91544092 7208.5
## - experience:ethnicity 1 188171 91551615 7208.6
## - industry:ethnicity 1 199309 91562753 7208.7
## - weeks:smsa 1 249759 91613202 7209.0
## - married:ethnicity 1 266563 91630007 7209.1
## - experience:weeks 1 267124 91630567 7209.1
## - smsa:union 1 272171 91635614 7209.1
## <none> 91363443 7209.4
## - smsa:gender 1 327972 91691415 7209.5
## - industry:smsa 1 421192 91784636 7210.1
## - experience:occupation 1 440106 91803549 7210.2
## - occupation:union 1 468761 91832204 7210.4
## - gender:ethnicity 1 668073 92031516 7211.7
## - occupation:education 1 671651 92035095 7211.7
## - industry:south 1 831462 92194905 7212.8
## - industry:union 1 1029584 92393027 7214.0
## - weeks:gender 1 1049011 92412455 7214.2
## - union:education 1 1414951 92778395 7216.5
## - weeks:married 1 1687582 93051025 7218.3
## - south:education 1 1725340 93088783 7218.5
##
## Step: AIC=7207.44
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:union +
## married:ethnicity + gender:union + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:gender 1 17190 91391744 7205.6
## - occupation:smsa 1 17689 91392243 7205.6
## - industry:married 1 19620 91394174 7205.6
## - experience:smsa 1 20354 91394908 7205.6
## - smsa:ethnicity 1 23061 91397614 7205.6
## - weeks:education 1 40111 91414665 7205.7
## - occupation:ethnicity 1 43199 91417753 7205.7
## - occupation:married 1 48815 91423369 7205.8
## - industry:gender 1 59503 91434057 7205.8
## - gender:union 1 59823 91434377 7205.8
## - education:ethnicity 1 65265 91439819 7205.9
## - south:smsa 1 76361 91450915 7205.9
## - experience:married 1 100486 91475040 7206.1
## - union:ethnicity 1 104255 91478809 7206.1
## - weeks:ethnicity 1 105962 91480516 7206.1
## - experience:union 1 108205 91482759 7206.1
## - weeks:south 1 115128 91489682 7206.2
## - experience:gender 1 129407 91503961 7206.3
## - weeks:occupation 1 151336 91525890 7206.4
## - industry:education 1 155555 91530109 7206.5
## - married:union 1 179892 91554446 7206.6
## - experience:ethnicity 1 199356 91573910 7206.7
## - industry:ethnicity 1 202324 91576878 7206.8
## - weeks:smsa 1 249640 91624194 7207.1
## - experience:weeks 1 263359 91637913 7207.2
## - married:ethnicity 1 267315 91641869 7207.2
## - smsa:union 1 271766 91646320 7207.2
## <none> 91374554 7207.4
## - smsa:gender 1 326210 91700764 7207.6
## - industry:smsa 1 424659 91799212 7208.2
## - experience:occupation 1 445963 91820517 7208.3
## - occupation:union 1 473104 91847658 7208.5
## - gender:ethnicity 1 663953 92038506 7209.7
## - occupation:education 1 682836 92057390 7209.9
## - industry:south 1 838793 92213347 7210.9
## - industry:union 1 1036826 92411380 7212.2
## - weeks:gender 1 1095032 92469586 7212.5
## - union:education 1 1411066 92785620 7214.6
## - south:education 1 1714230 93088783 7216.5
## - weeks:married 1 1719115 93093669 7216.5
##
## Step: AIC=7205.55
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:smsa 1 17000 91408745 7203.7
## - smsa:ethnicity 1 18606 91410350 7203.7
## - experience:smsa 1 18609 91410353 7203.7
## - industry:married 1 19694 91411438 7203.7
## - occupation:married 1 31806 91423550 7203.8
## - weeks:education 1 40415 91432159 7203.8
## - occupation:ethnicity 1 45014 91436758 7203.8
## - gender:union 1 49392 91441136 7203.9
## - education:ethnicity 1 64206 91455951 7204.0
## - south:smsa 1 75165 91466909 7204.0
## - industry:gender 1 79296 91471040 7204.1
## - experience:married 1 98478 91490222 7204.2
## - union:ethnicity 1 108195 91499939 7204.3
## - weeks:south 1 115300 91507044 7204.3
## - experience:union 1 116056 91507800 7204.3
## - weeks:ethnicity 1 116394 91508138 7204.3
## - experience:gender 1 125855 91517600 7204.4
## - industry:education 1 158734 91550478 7204.6
## - weeks:occupation 1 159956 91551700 7204.6
## - married:union 1 162706 91554450 7204.6
## - industry:ethnicity 1 196886 91588631 7204.8
## - experience:ethnicity 1 197896 91589640 7204.8
## - married:ethnicity 1 259522 91651267 7205.2
## - weeks:smsa 1 262559 91654303 7205.3
## - experience:weeks 1 262864 91654608 7205.3
## - smsa:union 1 269943 91661687 7205.3
## <none> 91391744 7205.6
## - smsa:gender 1 395113 91786858 7206.1
## - industry:smsa 1 428208 91819952 7206.3
## - experience:occupation 1 440361 91832105 7206.4
## - occupation:union 1 461644 91853388 7206.5
## - occupation:education 1 688566 92080311 7208.0
## - gender:ethnicity 1 712771 92104515 7208.2
## - industry:south 1 831919 92223663 7208.9
## - industry:union 1 1069249 92460994 7210.5
## - weeks:gender 1 1183895 92575639 7211.2
## - union:education 1 1453311 92845055 7212.9
## - south:education 1 1702427 93094171 7214.5
## - weeks:married 1 1841478 93233222 7215.4
##
## Step: AIC=7203.66
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:ethnicity 1 17922 91426666 7201.8
## - industry:married 1 21311 91430055 7201.8
## - experience:smsa 1 21327 91430071 7201.8
## - occupation:married 1 26826 91435571 7201.8
## - weeks:education 1 40725 91449469 7201.9
## - occupation:ethnicity 1 47176 91455920 7202.0
## - gender:union 1 48037 91456782 7202.0
## - education:ethnicity 1 65247 91473991 7202.1
## - south:smsa 1 70116 91478861 7202.1
## - industry:gender 1 81317 91490061 7202.2
## - experience:married 1 95534 91504278 7202.3
## - union:ethnicity 1 109629 91518374 7202.4
## - weeks:south 1 114801 91523545 7202.4
## - weeks:ethnicity 1 116168 91524913 7202.4
## - experience:gender 1 126024 91534769 7202.5
## - experience:union 1 129849 91538593 7202.5
## - industry:education 1 147294 91556038 7202.6
## - married:union 1 156034 91564779 7202.7
## - weeks:occupation 1 156638 91565383 7202.7
## - industry:ethnicity 1 197375 91606120 7202.9
## - experience:ethnicity 1 204894 91613638 7203.0
## - weeks:smsa 1 254546 91663291 7203.3
## - smsa:union 1 258736 91667480 7203.3
## - experience:weeks 1 260946 91669690 7203.4
## - married:ethnicity 1 271129 91679874 7203.4
## <none> 91408745 7203.7
## - smsa:gender 1 391182 91799926 7204.2
## - industry:smsa 1 411218 91819962 7204.3
## - experience:occupation 1 424247 91832991 7204.4
## - occupation:union 1 501696 91910441 7204.9
## - occupation:education 1 671830 92080574 7206.0
## - gender:ethnicity 1 751230 92159975 7206.5
## - industry:south 1 833714 92242458 7207.1
## - industry:union 1 1127234 92535978 7209.0
## - weeks:gender 1 1177229 92585974 7209.3
## - union:education 1 1471572 92880316 7211.2
## - south:education 1 1691432 93100177 7212.6
## - weeks:married 1 1841985 93250730 7213.5
##
## Step: AIC=7201.78
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:married 1 21330 91447997 7199.9
## - experience:smsa 1 23495 91450161 7199.9
## - occupation:married 1 24115 91450782 7199.9
## - weeks:education 1 40137 91466804 7200.0
## - gender:union 1 43186 91469852 7200.1
## - occupation:ethnicity 1 57533 91484199 7200.2
## - south:smsa 1 81667 91508333 7200.3
## - industry:gender 1 82997 91509663 7200.3
## - education:ethnicity 1 90616 91517282 7200.4
## - experience:married 1 93930 91520596 7200.4
## - union:ethnicity 1 96936 91523602 7200.4
## - weeks:ethnicity 1 114677 91541343 7200.5
## - weeks:south 1 115965 91542632 7200.5
## - experience:gender 1 121506 91548173 7200.6
## - experience:union 1 126869 91553535 7200.6
## - married:union 1 151534 91578200 7200.8
## - industry:education 1 157328 91583994 7200.8
## - weeks:occupation 1 162502 91589168 7200.8
## - industry:ethnicity 1 190598 91617264 7201.0
## - experience:ethnicity 1 222831 91649497 7201.2
## - weeks:smsa 1 252389 91679056 7201.4
## - experience:weeks 1 260498 91687164 7201.5
## - smsa:union 1 263873 91690539 7201.5
## - married:ethnicity 1 276656 91703322 7201.6
## <none> 91426666 7201.8
## - smsa:gender 1 382927 91809593 7202.3
## - industry:smsa 1 416465 91843131 7202.5
## - experience:occupation 1 418286 91844952 7202.5
## - occupation:union 1 493523 91920189 7203.0
## - occupation:education 1 671017 92097683 7204.1
## - gender:ethnicity 1 744522 92171188 7204.6
## - industry:south 1 849931 92276598 7205.3
## - industry:union 1 1113062 92539729 7207.0
## - weeks:gender 1 1201990 92628656 7207.6
## - union:education 1 1468439 92895105 7209.3
## - south:education 1 1705058 93131725 7210.8
## - weeks:married 1 1878944 93305610 7211.9
##
## Step: AIC=7199.92
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:smsa 1 24165 91472162 7198.1
## - occupation:married 1 25409 91473406 7198.1
## - gender:union 1 36054 91484050 7198.2
## - weeks:education 1 46726 91494723 7198.2
## - occupation:ethnicity 1 58581 91506577 7198.3
## - industry:gender 1 62378 91510374 7198.3
## - experience:married 1 83440 91531436 7198.5
## - south:smsa 1 89891 91537888 7198.5
## - education:ethnicity 1 93833 91541830 7198.5
## - weeks:south 1 107662 91555658 7198.6
## - union:ethnicity 1 108123 91556119 7198.6
## - weeks:ethnicity 1 112078 91560074 7198.6
## - experience:gender 1 114597 91562594 7198.7
## - experience:union 1 128856 91576852 7198.8
## - married:union 1 134849 91582846 7198.8
## - industry:education 1 156138 91604135 7198.9
## - weeks:occupation 1 157658 91605654 7198.9
## - industry:ethnicity 1 181886 91629882 7199.1
## - experience:ethnicity 1 228589 91676585 7199.4
## - weeks:smsa 1 246640 91694637 7199.5
## - experience:weeks 1 252860 91700856 7199.6
## - smsa:union 1 255258 91703254 7199.6
## - married:ethnicity 1 267567 91715564 7199.7
## <none> 91447997 7199.9
## - smsa:gender 1 385844 91833841 7200.4
## - experience:occupation 1 412439 91860436 7200.6
## - industry:smsa 1 438254 91886251 7200.8
## - occupation:union 1 488114 91936111 7201.1
## - occupation:education 1 658867 92106864 7202.2
## - gender:ethnicity 1 735763 92183759 7202.7
## - industry:south 1 855705 92303701 7203.5
## - industry:union 1 1099695 92547692 7205.0
## - weeks:gender 1 1216197 92664194 7205.8
## - union:education 1 1465201 92913197 7207.4
## - south:education 1 1690266 93138262 7208.8
## - weeks:married 1 1911054 93359051 7210.2
##
## Step: AIC=7198.08
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:married 1 27214 91499376 7196.3
## - gender:union 1 36173 91508335 7196.3
## - weeks:education 1 47415 91519577 7196.4
## - occupation:ethnicity 1 58633 91530795 7196.5
## - industry:gender 1 60377 91532539 7196.5
## - experience:married 1 89620 91561782 7196.7
## - south:smsa 1 92373 91564535 7196.7
## - education:ethnicity 1 95426 91567588 7196.7
## - union:ethnicity 1 104033 91576195 7196.8
## - experience:gender 1 107012 91579174 7196.8
## - weeks:south 1 107629 91579791 7196.8
## - weeks:ethnicity 1 113805 91585967 7196.8
## - experience:union 1 118126 91590287 7196.8
## - married:union 1 134116 91606278 7196.9
## - industry:education 1 150156 91622317 7197.1
## - weeks:occupation 1 153588 91625750 7197.1
## - industry:ethnicity 1 179847 91652008 7197.2
## - experience:ethnicity 1 218699 91690860 7197.5
## - experience:weeks 1 241028 91713189 7197.6
## - weeks:smsa 1 260665 91732826 7197.8
## - married:ethnicity 1 263929 91736090 7197.8
## - smsa:union 1 266964 91739126 7197.8
## <none> 91472162 7198.1
## - industry:smsa 1 423052 91895214 7198.8
## - smsa:gender 1 435613 91907775 7198.9
## - experience:occupation 1 462201 91934363 7199.1
## - occupation:union 1 483054 91955215 7199.2
## - occupation:education 1 655183 92127344 7200.3
## - gender:ethnicity 1 728809 92200971 7200.8
## - industry:south 1 866006 92338168 7201.7
## - industry:union 1 1126718 92598879 7203.4
## - weeks:gender 1 1230469 92702630 7204.0
## - union:education 1 1461939 92934101 7205.5
## - south:education 1 1668715 93140876 7206.8
## - weeks:married 1 1915526 93387688 7208.4
##
## Step: AIC=7196.25
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - gender:union 1 24521 91523897 7194.4
## - industry:gender 1 42492 91541868 7194.5
## - occupation:ethnicity 1 45483 91544859 7194.5
## - weeks:education 1 46152 91545528 7194.6
## - experience:married 1 81562 91580938 7194.8
## - south:smsa 1 91839 91591215 7194.8
## - education:ethnicity 1 95964 91595340 7194.9
## - experience:gender 1 106367 91605743 7194.9
## - married:union 1 108704 91608080 7195.0
## - weeks:south 1 111022 91610398 7195.0
## - union:ethnicity 1 116632 91616007 7195.0
## - weeks:ethnicity 1 121637 91621013 7195.0
## - experience:union 1 121697 91621073 7195.0
## - industry:education 1 144126 91643502 7195.2
## - weeks:occupation 1 150637 91650013 7195.2
## - industry:ethnicity 1 194053 91693429 7195.5
## - experience:ethnicity 1 219638 91719014 7195.7
## - experience:weeks 1 251198 91750574 7195.9
## - married:ethnicity 1 255197 91754573 7195.9
## - smsa:union 1 261403 91760778 7195.9
## - weeks:smsa 1 262530 91761906 7196.0
## <none> 91499376 7196.3
## - smsa:gender 1 408406 91907782 7196.9
## - industry:smsa 1 418526 91917902 7197.0
## - experience:occupation 1 436101 91935477 7197.1
## - occupation:union 1 521804 92021180 7197.6
## - occupation:education 1 641790 92141165 7198.4
## - gender:ethnicity 1 702233 92201609 7198.8
## - industry:south 1 878094 92377470 7199.9
## - industry:union 1 1142034 92641410 7201.6
## - weeks:gender 1 1251927 92751303 7202.3
## - union:education 1 1448332 92947708 7203.6
## - south:education 1 1669678 93169054 7205.0
## - weeks:married 1 2039461 93538837 7207.4
##
## Step: AIC=7194.41
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:gender 1 36721 91560617 7192.7
## - weeks:education 1 41723 91565619 7192.7
## - occupation:ethnicity 1 42898 91566794 7192.7
## - experience:married 1 83163 91607059 7193.0
## - south:smsa 1 84850 91608747 7193.0
## - married:union 1 88831 91612728 7193.0
## - education:ethnicity 1 100274 91624171 7193.1
## - experience:gender 1 108851 91632748 7193.1
## - union:ethnicity 1 116030 91639926 7193.2
## - weeks:south 1 119829 91643726 7193.2
## - weeks:ethnicity 1 123414 91647311 7193.2
## - experience:union 1 132488 91656385 7193.3
## - industry:education 1 134493 91658390 7193.3
## - weeks:occupation 1 157170 91681067 7193.4
## - industry:ethnicity 1 182444 91706341 7193.6
## - experience:ethnicity 1 233535 91757432 7193.9
## - experience:weeks 1 250494 91774391 7194.0
## - married:ethnicity 1 251663 91775559 7194.0
## - smsa:union 1 263067 91786963 7194.1
## - weeks:smsa 1 268040 91791937 7194.2
## <none> 91523897 7194.4
## - smsa:gender 1 422425 91946322 7195.2
## - industry:smsa 1 422686 91946583 7195.2
## - experience:occupation 1 428356 91952253 7195.2
## - occupation:union 1 528811 92052707 7195.8
## - occupation:education 1 630567 92154463 7196.5
## - gender:ethnicity 1 697487 92221384 7196.9
## - industry:south 1 887674 92411570 7198.2
## - industry:union 1 1146934 92670831 7199.8
## - weeks:gender 1 1281983 92805880 7200.7
## - union:education 1 1491022 93014919 7202.0
## - south:education 1 1671819 93195716 7203.2
## - weeks:married 1 2026020 93549916 7205.4
##
## Step: AIC=7192.65
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:education 1 43059 91603677 7190.9
## - occupation:ethnicity 1 45270 91605887 7190.9
## - education:ethnicity 1 82150 91642767 7191.2
## - experience:married 1 82402 91643020 7191.2
## - south:smsa 1 86945 91647563 7191.2
## - experience:gender 1 91359 91651976 7191.2
## - married:union 1 100244 91660862 7191.3
## - union:ethnicity 1 117665 91678282 7191.4
## - experience:union 1 121657 91682274 7191.4
## - weeks:ethnicity 1 122983 91683600 7191.4
## - industry:education 1 126738 91687355 7191.5
## - weeks:south 1 127391 91688009 7191.5
## - weeks:occupation 1 160971 91721588 7191.7
## - experience:weeks 1 239281 91799899 7192.2
## - married:ethnicity 1 242734 91803351 7192.2
## - experience:ethnicity 1 242879 91803496 7192.2
## - industry:ethnicity 1 253952 91814569 7192.3
## - weeks:smsa 1 268091 91828708 7192.4
## - smsa:union 1 276719 91837336 7192.4
## <none> 91560617 7192.7
## - industry:smsa 1 406681 91967298 7193.3
## - smsa:gender 1 430952 91991570 7193.4
## - experience:occupation 1 438906 91999523 7193.5
## - occupation:union 1 525486 92086103 7194.1
## - occupation:education 1 639533 92200150 7194.8
## - gender:ethnicity 1 708776 92269393 7195.2
## - industry:south 1 895404 92456021 7196.4
## - industry:union 1 1188027 92748644 7198.3
## - weeks:gender 1 1350715 92911332 7199.4
## - union:education 1 1464888 93025505 7200.1
## - south:education 1 1685709 93246326 7201.5
## - weeks:married 1 2063089 93623706 7203.9
##
## Step: AIC=7190.93
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:ethnicity 1 42650 91646326 7189.2
## - experience:married 1 79377 91683054 7189.4
## - experience:gender 1 80236 91683912 7189.5
## - education:ethnicity 1 82696 91686373 7189.5
## - south:smsa 1 94496 91698172 7189.5
## - weeks:ethnicity 1 100938 91704615 7189.6
## - married:union 1 107272 91710949 7189.6
## - union:ethnicity 1 109104 91712780 7189.6
## - industry:education 1 120659 91724336 7189.7
## - experience:union 1 123666 91727343 7189.7
## - weeks:south 1 161510 91765187 7190.0
## - married:ethnicity 1 229487 91833164 7190.4
## - experience:ethnicity 1 240756 91844433 7190.5
## - industry:ethnicity 1 245801 91849478 7190.5
## - weeks:smsa 1 249703 91853379 7190.5
## - experience:weeks 1 267405 91871082 7190.7
## - smsa:union 1 271958 91875635 7190.7
## <none> 91603677 7190.9
## - industry:smsa 1 409391 92013068 7191.6
## - experience:occupation 1 437316 92040993 7191.8
## - smsa:gender 1 444810 92048486 7191.8
## - occupation:union 1 507879 92111556 7192.2
## - weeks:occupation 1 527801 92131478 7192.3
## - occupation:education 1 616286 92219963 7192.9
## - gender:ethnicity 1 680823 92284500 7193.3
## - industry:south 1 893102 92496779 7194.7
## - industry:union 1 1192834 92796511 7196.6
## - weeks:gender 1 1327694 92931371 7197.5
## - union:education 1 1606155 93209831 7199.3
## - south:education 1 1746342 93350019 7200.2
## - weeks:married 1 2058363 93662040 7202.2
##
## Step: AIC=7189.21
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:ethnicity + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:gender 1 72569 91718895 7187.7
## - experience:married 1 75522 91721848 7187.7
## - weeks:ethnicity 1 99007 91745334 7187.8
## - south:smsa 1 100726 91747053 7187.9
## - married:union 1 109839 91756165 7187.9
## - experience:union 1 111212 91757538 7187.9
## - industry:education 1 119017 91765344 7188.0
## - union:ethnicity 1 158709 91805036 7188.2
## - weeks:south 1 165021 91811347 7188.3
## - education:ethnicity 1 197883 91844209 7188.5
## - weeks:smsa 1 245643 91891969 7188.8
## - industry:ethnicity 1 253128 91899455 7188.8
## - experience:weeks 1 259416 91905742 7188.9
## - smsa:union 1 262957 91909283 7188.9
## - experience:ethnicity 1 263720 91910046 7188.9
## - married:ethnicity 1 277158 91923484 7189.0
## <none> 91646326 7189.2
## - industry:smsa 1 400475 92046801 7189.8
## - smsa:gender 1 434402 92080728 7190.0
## - experience:occupation 1 462841 92109168 7190.2
## - weeks:occupation 1 546883 92193209 7190.7
## - occupation:union 1 568327 92214654 7190.9
## - occupation:education 1 669547 92315874 7191.5
## - gender:ethnicity 1 907631 92553957 7193.1
## - industry:south 1 915075 92561401 7193.1
## - industry:union 1 1211283 92857609 7195.0
## - weeks:gender 1 1356513 93002839 7195.9
## - union:education 1 1565748 93212074 7197.3
## - south:education 1 1759145 93405471 7198.5
## - weeks:married 1 2074217 93720543 7200.5
##
## Step: AIC=7187.68
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:union +
## experience:ethnicity + weeks:occupation + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:ethnicity + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:married 1 16454 91735349 7185.8
## - weeks:ethnicity 1 92318 91811213 7186.3
## - south:smsa 1 97940 91816835 7186.3
## - experience:union 1 99672 91818567 7186.3
## - married:union 1 109224 91828120 7186.4
## - industry:education 1 115167 91834063 7186.4
## - union:ethnicity 1 151502 91870397 7186.7
## - weeks:south 1 172388 91891283 7186.8
## - education:ethnicity 1 200577 91919472 7187.0
## - experience:weeks 1 240431 91959326 7187.2
## - industry:ethnicity 1 249329 91968224 7187.3
## - weeks:smsa 1 259857 91978752 7187.4
## - smsa:union 1 266700 91985595 7187.4
## <none> 91718895 7187.7
## - married:ethnicity 1 364918 92083813 7188.0
## - experience:ethnicity 1 381676 92100571 7188.1
## - industry:smsa 1 400833 92119728 7188.3
## - experience:occupation 1 454555 92173450 7188.6
## - smsa:gender 1 492970 92211866 7188.9
## - weeks:occupation 1 546974 92265870 7189.2
## - occupation:union 1 598093 92316988 7189.5
## - occupation:education 1 679627 92398523 7190.1
## - industry:south 1 921381 92640276 7191.6
## - gender:ethnicity 1 959436 92678331 7191.9
## - industry:union 1 1251005 92969901 7193.7
## - weeks:gender 1 1443342 93162237 7195.0
## - union:education 1 1557988 93276884 7195.7
## - south:education 1 1725950 93444846 7196.8
## - weeks:married 1 2076553 93795448 7199.0
##
## Step: AIC=7185.78
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:ethnicity + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:ethnicity 1 95528 91830877 7184.4
## - south:smsa 1 96442 91831791 7184.4
## - experience:union 1 106702 91842051 7184.5
## - industry:education 1 114288 91849637 7184.5
## - married:union 1 116096 91851445 7184.5
## - union:ethnicity 1 150001 91885350 7184.8
## - weeks:south 1 175557 91910906 7184.9
## - education:ethnicity 1 198063 91933412 7185.1
## - experience:weeks 1 249558 91984907 7185.4
## - industry:ethnicity 1 254155 91989504 7185.4
## - weeks:smsa 1 263816 91999165 7185.5
## - smsa:union 1 266458 92001807 7185.5
## <none> 91735349 7185.8
## - married:ethnicity 1 363824 92099173 7186.1
## - experience:ethnicity 1 365607 92100956 7186.2
## - industry:smsa 1 398609 92133958 7186.4
## - experience:occupation 1 442613 92177962 7186.6
## - smsa:gender 1 478939 92214288 7186.9
## - weeks:occupation 1 541037 92276386 7187.3
## - occupation:union 1 591791 92327140 7187.6
## - occupation:education 1 671217 92406566 7188.1
## - industry:south 1 914177 92649526 7189.7
## - gender:ethnicity 1 1006255 92741604 7190.3
## - industry:union 1 1249393 92984742 7191.8
## - weeks:gender 1 1432607 93167956 7193.0
## - union:education 1 1569011 93304360 7193.9
## - south:education 1 1765487 93500835 7195.1
## - weeks:married 1 2107284 93842633 7197.3
##
## Step: AIC=7184.4
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:smsa 1 103010 91933887 7183.1
## - experience:union 1 115246 91946123 7183.2
## - industry:education 1 116429 91947305 7183.2
## - weeks:south 1 142527 91973404 7183.3
## - married:union 1 147018 91977894 7183.4
## - education:ethnicity 1 156891 91987768 7183.4
## - union:ethnicity 1 161875 91992752 7183.5
## - weeks:smsa 1 213391 92044267 7183.8
## - smsa:union 1 251891 92082768 7184.0
## - experience:weeks 1 285255 92116131 7184.2
## - industry:ethnicity 1 293587 92124463 7184.3
## <none> 91830877 7184.4
## - industry:smsa 1 402100 92232976 7185.0
## - experience:ethnicity 1 434621 92265498 7185.2
## - experience:occupation 1 444932 92275809 7185.3
## - weeks:occupation 1 480674 92311550 7185.5
## - smsa:gender 1 483644 92314520 7185.5
## - married:ethnicity 1 525658 92356535 7185.8
## - occupation:union 1 585617 92416494 7186.2
## - occupation:education 1 701610 92532486 7186.9
## - industry:south 1 901076 92731952 7188.2
## - gender:ethnicity 1 1165336 92996213 7189.9
## - industry:union 1 1272939 93103816 7190.6
## - weeks:gender 1 1400635 93231511 7191.4
## - union:education 1 1589922 93420799 7192.6
## - south:education 1 1710976 93541853 7193.4
## - weeks:married 1 2028010 93858886 7195.4
##
## Step: AIC=7183.07
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:education 1 106680 92040567 7181.8
## - experience:union 1 111457 92045344 7181.8
## - married:union 1 138956 92072843 7182.0
## - education:ethnicity 1 159058 92092945 7182.1
## - weeks:south 1 164273 92098160 7182.1
## - union:ethnicity 1 177437 92111324 7182.2
## - weeks:smsa 1 209244 92143131 7182.4
## - smsa:union 1 223837 92157724 7182.5
## - experience:weeks 1 276077 92209964 7182.9
## - industry:ethnicity 1 276553 92210440 7182.9
## <none> 91933887 7183.1
## - industry:smsa 1 367198 92301085 7183.4
## - experience:occupation 1 445661 92379548 7183.9
## - experience:ethnicity 1 458102 92391989 7184.0
## - smsa:gender 1 485151 92419038 7184.2
## - weeks:occupation 1 496360 92430247 7184.3
## - occupation:union 1 534379 92468266 7184.5
## - married:ethnicity 1 560383 92494270 7184.7
## - occupation:education 1 701448 92635335 7185.6
## - industry:south 1 894743 92828630 7186.8
## - gender:ethnicity 1 1165663 93099550 7188.6
## - industry:union 1 1315146 93249033 7189.5
## - weeks:gender 1 1379536 93313423 7189.9
## - union:education 1 1677202 93611089 7191.8
## - weeks:married 1 2008907 93942794 7193.9
## - south:education 1 2072779 94006666 7194.3
##
## Step: AIC=7181.76
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + smsa:union + married:union +
## married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:union 1 103702 92144269 7180.4
## - married:union 1 136786 92177353 7180.6
## - education:ethnicity 1 175203 92215770 7180.9
## - weeks:south 1 181940 92222507 7180.9
## - union:ethnicity 1 199964 92240531 7181.1
## - weeks:smsa 1 227771 92268338 7181.2
## - smsa:union 1 239666 92280233 7181.3
## - industry:ethnicity 1 242738 92283305 7181.3
## - experience:weeks 1 269710 92310277 7181.5
## - industry:smsa 1 308384 92348951 7181.8
## <none> 92040567 7181.8
## - experience:ethnicity 1 467579 92508146 7182.8
## - smsa:gender 1 495308 92535875 7183.0
## - experience:occupation 1 502898 92543465 7183.0
## - married:ethnicity 1 551338 92591905 7183.3
## - weeks:occupation 1 570022 92610589 7183.4
## - occupation:union 1 571383 92611951 7183.4
## - occupation:education 1 604540 92645107 7183.7
## - industry:south 1 1036703 93077270 7186.4
## - gender:ethnicity 1 1193877 93234445 7187.4
## - weeks:gender 1 1434697 93475264 7189.0
## - union:education 1 1666677 93707244 7190.4
## - industry:union 1 1717323 93757891 7190.8
## - south:education 1 2124837 94165404 7193.3
## - weeks:married 1 2160152 94200719 7193.6
##
## Step: AIC=7180.43
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:union 1 165016 92309285 7179.5
## - weeks:south 1 170581 92314850 7179.5
## - education:ethnicity 1 170731 92315000 7179.5
## - union:ethnicity 1 203159 92347428 7179.7
## - experience:weeks 1 224369 92368639 7179.9
## - industry:ethnicity 1 229510 92373779 7179.9
## - weeks:smsa 1 250423 92394692 7180.0
## - industry:smsa 1 290321 92434590 7180.3
## <none> 92144269 7180.4
## - smsa:union 1 321657 92465927 7180.5
## - experience:ethnicity 1 462747 92607016 7181.4
## - smsa:gender 1 475189 92619458 7181.5
## - married:ethnicity 1 534776 92679045 7181.9
## - weeks:occupation 1 579448 92723717 7182.2
## - occupation:union 1 674025 92818294 7182.8
## - occupation:education 1 677830 92822099 7182.8
## - experience:occupation 1 759413 92903682 7183.3
## - industry:south 1 1021806 93166075 7185.0
## - gender:ethnicity 1 1164384 93308653 7185.9
## - weeks:gender 1 1418850 93563119 7187.5
## - union:education 1 1585444 93729713 7188.6
## - industry:union 1 1729388 93873657 7189.5
## - south:education 1 2084083 94228352 7191.7
## - weeks:married 1 2163802 94308071 7192.2
##
## Step: AIC=7179.5
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - education:ethnicity 1 130462 92439747 7178.3
## - weeks:south 1 158071 92467356 7178.5
## - experience:weeks 1 217312 92526597 7178.9
## - industry:ethnicity 1 237370 92546655 7179.0
## - weeks:smsa 1 245747 92555032 7179.1
## - smsa:union 1 288921 92598206 7179.4
## - union:ethnicity 1 295944 92605229 7179.4
## <none> 92309285 7179.5
## - industry:smsa 1 330146 92639431 7179.6
## - smsa:gender 1 446533 92755818 7180.4
## - experience:ethnicity 1 451973 92761258 7180.4
## - married:ethnicity 1 475100 92784385 7180.6
## - weeks:occupation 1 599334 92908619 7181.3
## - occupation:union 1 652610 92961895 7181.7
## - occupation:education 1 736687 93045972 7182.2
## - experience:occupation 1 794246 93103531 7182.6
## - industry:south 1 1027948 93337233 7184.1
## - gender:ethnicity 1 1140084 93449370 7184.8
## - weeks:gender 1 1343963 93653248 7186.1
## - union:education 1 1571499 93880784 7187.5
## - industry:union 1 1805383 94114668 7189.0
## - south:education 1 2057016 94366301 7190.6
## - weeks:married 1 2200786 94510071 7191.5
##
## Step: AIC=7178.34
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:south 1 180354 92620102 7177.5
## - experience:weeks 1 235430 92675177 7177.8
## - weeks:smsa 1 245873 92685620 7177.9
## - smsa:union 1 284711 92724459 7178.2
## - union:ethnicity 1 299872 92739619 7178.3
## - industry:smsa 1 308882 92748629 7178.3
## <none> 92439747 7178.3
## - industry:ethnicity 1 360928 92800675 7178.7
## - married:ethnicity 1 413502 92853249 7179.0
## - smsa:gender 1 421583 92861331 7179.0
## - experience:ethnicity 1 436254 92876002 7179.1
## - weeks:occupation 1 628800 93068547 7180.4
## - occupation:union 1 641294 93081041 7180.4
## - experience:occupation 1 808729 93248476 7181.5
## - occupation:education 1 848339 93288087 7181.8
## - industry:south 1 1062655 93502402 7183.1
## - gender:ethnicity 1 1137670 93577417 7183.6
## - weeks:gender 1 1392707 93832454 7185.2
## - union:education 1 1541359 93981106 7186.2
## - industry:union 1 1869290 94309037 7188.2
## - south:education 1 2111105 94550853 7189.8
## - weeks:married 1 2333196 94772943 7191.2
##
## Step: AIC=7177.5
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:smsa + weeks:married + weeks:gender + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:ethnicity + south:education + smsa:gender + smsa:union +
## married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:smsa 1 172792 92792893 7176.6
## - experience:weeks 1 228245 92848346 7177.0
## - industry:smsa 1 311667 92931768 7177.5
## <none> 92620102 7177.5
## - union:ethnicity 1 314428 92934530 7177.5
## - smsa:union 1 320885 92940986 7177.6
## - industry:ethnicity 1 355606 92975708 7177.8
## - married:ethnicity 1 399021 93019123 7178.1
## - experience:ethnicity 1 435902 93056004 7178.3
## - smsa:gender 1 467222 93087323 7178.5
## - weeks:occupation 1 573987 93194089 7179.2
## - occupation:union 1 698568 93318670 7180.0
## - experience:occupation 1 821734 93441835 7180.8
## - occupation:education 1 845635 93465737 7180.9
## - industry:south 1 1029459 93649561 7182.1
## - gender:ethnicity 1 1176305 93796407 7183.0
## - weeks:gender 1 1377577 93997679 7184.3
## - union:education 1 1621124 94241226 7185.8
## - industry:union 1 1849255 94469357 7187.3
## - south:education 1 2169719 94789821 7189.3
## - weeks:married 1 2372053 94992154 7190.5
##
## Step: AIC=7176.6
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + smsa:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:union 1 258082 93050975 7176.3
## - experience:weeks 1 288786 93081679 7176.5
## - union:ethnicity 1 296047 93088940 7176.5
## <none> 92792893 7176.6
## - industry:smsa 1 318661 93111554 7176.6
## - industry:ethnicity 1 359249 93152143 7176.9
## - married:ethnicity 1 398745 93191638 7177.2
## - smsa:gender 1 424866 93217760 7177.3
## - experience:ethnicity 1 442696 93235589 7177.4
## - weeks:occupation 1 487098 93279991 7177.7
## - occupation:union 1 718100 93510993 7179.2
## - occupation:education 1 871687 93664580 7180.2
## - experience:occupation 1 879035 93671929 7180.2
## - industry:south 1 1063711 93856604 7181.4
## - gender:ethnicity 1 1179928 93972821 7182.1
## - weeks:gender 1 1269071 94061964 7182.7
## - union:education 1 1530461 94323354 7184.3
## - industry:union 1 1781020 94573914 7185.9
## - south:education 1 2084738 94877631 7187.8
## - weeks:married 1 2332192 95125086 7189.4
##
## Step: AIC=7176.26
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - union:ethnicity 1 233127 93284103 7175.7
## <none> 93050975 7176.3
## - experience:weeks 1 347031 93398006 7176.5
## - industry:ethnicity 1 360592 93411567 7176.6
## - smsa:gender 1 374647 93425622 7176.6
## - married:ethnicity 1 413932 93464907 7176.9
## - industry:smsa 1 434838 93485813 7177.0
## - experience:ethnicity 1 436180 93487155 7177.0
## - weeks:occupation 1 482233 93533209 7177.3
## - occupation:union 1 790925 93841900 7179.3
## - experience:occupation 1 861950 93912926 7179.7
## - occupation:education 1 888278 93939253 7179.9
## - industry:south 1 1137537 94188512 7181.5
## - gender:ethnicity 1 1203368 94254343 7181.9
## - weeks:gender 1 1292681 94343656 7182.5
## - union:education 1 1642035 94693010 7184.7
## - industry:union 1 1781824 94832799 7185.5
## - south:education 1 2149198 95200173 7187.8
## - weeks:married 1 2330415 95381390 7189.0
##
## Step: AIC=7175.75
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + married:ethnicity + gender:ethnicity +
## union:education
##
## Df Sum of Sq RSS AIC
## <none> 93284103 7175.7
## - experience:ethnicity 1 342374 93626477 7175.9
## - experience:weeks 1 357898 93642000 7176.0
## - married:ethnicity 1 382852 93666955 7176.2
## - smsa:gender 1 389928 93674031 7176.2
## - industry:smsa 1 431444 93715546 7176.5
## - weeks:occupation 1 454255 93738358 7176.6
## - industry:ethnicity 1 584573 93868675 7177.5
## - occupation:union 1 770225 94054327 7178.6
## - experience:occupation 1 793944 94078046 7178.8
## - occupation:education 1 794605 94078708 7178.8
## - gender:ethnicity 1 1021861 94305963 7180.2
## - industry:south 1 1150084 94434187 7181.0
## - weeks:gender 1 1244968 94529070 7181.6
## - union:education 1 1764736 95048838 7184.9
## - industry:union 1 1883835 95167938 7185.6
## - south:education 1 2103290 95387392 7187.0
## - weeks:married 1 2214309 95498411 7187.7stepwise##
## Call:
## lm(formula = YM ~ experience + weeks + occupation + industry +
## south + smsa + married + gender + union + education + ethnicity +
## experience:weeks + experience:occupation + experience:ethnicity +
## weeks:occupation + weeks:married + weeks:gender + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:ethnicity + south:education + smsa:gender + married:ethnicity +
## gender:ethnicity + union:education, data = mydata2)
##
## Coefficients:
## (Intercept) experience weeks
## -973.6307 26.3765 10.2584
## occupation1 industry1 south1
## -1017.3840 251.1260 662.0379
## smsa1 married1 gender1
## 35.8154 -1887.1285 1936.9768
## union1 education ethnicity1
## 991.7270 78.5235 165.6754
## experience:weeks experience:occupation1 experience:ethnicity1
## -0.5124 7.2153 -9.0179
## weeks:occupation1 weeks:married1 weeks:gender1
## 12.7170 41.4631 -37.1696
## occupation1:union1 occupation1:education industry1:south1
## -215.2853 37.5504 -226.2304
## industry1:smsa1 industry1:union1 industry1:ethnicity1
## -122.2004 -262.7235 274.1885
## south1:education smsa1:gender1 married1:ethnicity1
## -50.7068 207.6874 327.3527
## gender1:ethnicity1 union1:education
## -570.5685 -60.4342# Setting the model, which is smallest AIC
experience=mydata$experience
weeks=mydata$weeks
occupation=as.numeric(mydata$occupation)
industry=as.numeric(mydata$industry)
south=as.numeric(mydata$south)
smsa=as.numeric(mydata$smsa)
married=as.numeric(mydata$married)
gender=as.numeric(mydata$gender)
union=as.numeric(mydata$union)
education=mydata$education
ethnicity=as.numeric(mydata$ethnicity)
#Create X design matrix
Xm=as.matrix(cbind(rep(1,n),experience,weeks,occupation,industry,south,smsa, married,gender,union,education,ethnicity,experience*weeks,experience*occupation,experience*ethnicity,weeks*occupation,weeks*married,weeks*gender,occupation*union,occupation*education,industry*south,industry*smsa,industry*union,industry*ethnicity,south*education,smsa*gender,married*ethnicity,gender*ethnicity, union*education))
# name of each column
colnames(Xm)=c("intercept","experience","weeks","occupation","industry","south","smsa", "married","gender","union","education","ethnicity","experience*weeks","experience*occupation","experience*ethnicity","weeks*occupation","weeks*married","weeks*gender","occupation*union","occupation*education","industry*south","industry*smsa","industry*union","industry*ethnicity","south*education","smsa*gender","married*ethnicity","gender*ethnicity", "union*education")
head(Xm)## intercept experience weeks occupation industry south smsa married gender
## [1,] 1 9 32 1 1 1 0 1 1
## [2,] 1 36 30 0 1 0 0 1 1
## [3,] 1 12 46 0 1 0 0 0 1
## [4,] 1 37 46 0 0 0 1 0 0
## [5,] 1 16 49 1 0 0 0 1 1
## [6,] 1 32 47 0 1 0 1 1 1
## union education ethnicity experience*weeks experience*occupation
## [1,] 0 9 0 288 9
## [2,] 0 11 0 1080 0
## [3,] 1 12 0 552 0
## [4,] 0 10 1 1702 0
## [5,] 0 16 0 784 16
## [6,] 0 12 0 1504 0
## experience*ethnicity weeks*occupation weeks*married weeks*gender
## [1,] 0 32 32 32
## [2,] 0 0 30 30
## [3,] 0 0 0 46
## [4,] 37 0 0 0
## [5,] 0 49 49 49
## [6,] 0 0 47 47
## occupation*union occupation*education industry*south industry*smsa
## [1,] 0 9 1 0
## [2,] 0 0 0 0
## [3,] 0 0 0 0
## [4,] 0 0 0 0
## [5,] 0 16 0 0
## [6,] 0 0 0 1
## industry*union industry*ethnicity south*education smsa*gender
## [1,] 0 0 9 0
## [2,] 0 0 0 0
## [3,] 1 0 0 0
## [4,] 0 0 0 0
## [5,] 0 0 0 0
## [6,] 0 0 0 1
## married*ethnicity gender*ethnicity union*education
## [1,] 0 0 0
## [2,] 0 0 0
## [3,] 0 0 12
## [4,] 0 0 0
## [5,] 0 0 0
## [6,] 0 0 0
Each criterion:
\(SSE=93284103\)
\(Adj_R2=0.4156553\)
\(AIC=7175.746\)
\(BIC=7303.015\)
\(Cp=-9\)
\(PRESS=101741859\)
#Calculate each criterion
YM.martrix=cbind(c(mydata2$YM))
p = dim(Xm)[2]
beta_hat = solve(t(Xm)%*%Xm)%*%t(Xm)%*%YM.martrix
YM_hat = Xm%*%beta_hat
MSE_Full = sum((YM_hat-YM.martrix)^2)/(n-67)
SSE = sum((YM_hat-YM.martrix)^2)
SSTO = sum((YM.martrix-mean(YM.martrix))^2)
Adj_R2 = 1 - (SSE/(n-p))/(SSTO/(n-1))
AIC = n*log(SSE) - n*log(n) + 2*p
BIC = n*log(SSE) - n*log(n) + p*log(n)
Cp = SSE/MSE_Full - (n-2*p)
PRESS=function(linear.model) {
pr <- residuals(linear.model)/(1 - lm.influence(linear.model)$hat)
sum(pr^2)}
PRESS(lm(YM~Xm))## [1] 101741859Use anova table to find the P values is less than <2e-16. Therefore, we reject H0, which means not all \(\beta\) equal to 0. There are relationship between some X variables.
# Use Anova table to check the relationship
model.two=lm(YM~Xm)
ano2=aov(model.two)
summary(ano2)## Df Sum Sq Mean Sq F value Pr(>F)
## Xm 28 74252060 2651859 16.09 <2e-16 ***
## Residuals 566 93284103 164813
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1Use t test, we can know which x variable have significant relationship on this model. If we set significant level is 0.05, we observed that the significant relationship is in industry,south,married,gender,union,education,week+married,weeks+gender,industry+south,industry+union,south+education,union+education.
# Check each x variables significant relationship
summary(model.two)##
## Call:
## lm(formula = YM ~ Xm)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1021.1 -222.3 -28.0 174.9 3285.6
##
## Coefficients: (1 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -973.6307 691.5078 -1.408 0.159685
## Xmintercept NA NA NA NA
## Xmexperience 26.3765 16.3894 1.609 0.108095
## Xmweeks 10.2584 14.3605 0.714 0.475305
## Xmoccupation -1017.3840 455.4758 -2.234 0.025894 *
## Xmindustry 251.1260 72.9441 3.443 0.000618 ***
## Xmsouth 662.0379 194.7475 3.399 0.000723 ***
## Xmsmsa 35.8154 129.5176 0.277 0.782243
## Xmmarried -1887.1285 538.2218 -3.506 0.000491 ***
## Xmgender 1936.9768 637.2929 3.039 0.002480 **
## Xmunion 991.7270 223.9365 4.429 1.14e-05 ***
## Xmeducation 78.5235 16.5215 4.753 2.55e-06 ***
## Xmethnicity 165.6754 211.6588 0.783 0.434103
## Xmexperience*weeks -0.5124 0.3477 -1.474 0.141141
## Xmexperience*occupation 7.2153 3.2874 2.195 0.028582 *
## Xmexperience*ethnicity -9.0179 6.2568 -1.441 0.150052
## Xmweeks*occupation 12.7170 7.6600 1.660 0.097433 .
## Xmweeks*married 41.4631 11.3120 3.665 0.000270 ***
## Xmweeks*gender -37.1696 13.5240 -2.748 0.006179 **
## Xmoccupation*union -215.2853 99.5867 -2.162 0.031053 *
## Xmoccupation*education 37.5504 17.1015 2.196 0.028516 *
## Xmindustry*south -226.2304 85.6410 -2.642 0.008479 **
## Xmindustry*smsa -122.2004 75.5277 -1.618 0.106229
## Xmindustry*union -262.7235 77.7093 -3.381 0.000772 ***
## Xmindustry*ethnicity 274.1885 145.5880 1.883 0.060170 .
## Xmsouth*education -50.7068 14.1942 -3.572 0.000384 ***
## Xmsmsa*gender 207.6874 135.0247 1.538 0.124572
## Xmmarried*ethnicity 327.3527 214.7810 1.524 0.128037
## Xmgender*ethnicity -570.5685 229.1435 -2.490 0.013060 *
## Xmunion*education -60.4342 18.4688 -3.272 0.001132 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 406 on 566 degrees of freedom
## Multiple R-squared: 0.4432, Adjusted R-squared: 0.4157
## F-statistic: 16.09 on 28 and 566 DF, p-value: < 2.2e-16##################################
##### Model diagnostics
##################################
plot(sel1) #Skewed Right
plot(sel2) #Skewed Right
########################################################################
##### Model selection: stepwise algorithms
##### Example 1: first-order models on X1 - X11, Forward selection
#########################################################################`
model0 = lm(YM~1, data=mydata2)
modelF = lm(YM~., data=mydata2)
step(model0, scope=list(lower=model0, upper=modelF), direction="forward")## Start: AIC=7468.15
## YM ~ 1
##
## Df Sum of Sq RSS AIC
## + education 1 32538301 134997861 7341.7
## + occupation 1 22992077 144544085 7382.3
## + gender 1 12829545 154706617 7422.7
## + married 1 10932833 156603329 7430.0
## + smsa 1 8127541 159408621 7440.6
## + ethnicity 1 5344585 162191577 7450.9
## + south 1 4329602 163206560 7454.6
## + experience 1 1362281 166173881 7465.3
## + union 1 995691 166540471 7466.6
## <none> 167536162 7468.1
## + weeks 1 321828 167214334 7469.0
## + industry 1 121663 167414499 7469.7
##
## Step: AIC=7341.66
## YM ~ education
##
## Df Sum of Sq RSS AIC
## + gender 1 12779707 122218154 7284.5
## + married 1 10254719 124743143 7296.7
## + experience 1 6226451 128771410 7315.6
## + smsa 1 3415108 131582754 7328.4
## + industry 1 3308035 131689826 7328.9
## + ethnicity 1 2694785 132303077 7331.7
## + occupation 1 2192036 132805826 7333.9
## + south 1 2135767 132862094 7334.2
## <none> 134997861 7341.7
## + union 1 330373 134667489 7342.2
## + weeks 1 320629 134677232 7342.2
##
## Step: AIC=7284.49
## YM ~ education + gender
##
## Df Sum of Sq RSS AIC
## + smsa 1 5133833 117084321 7261.0
## + experience 1 4667646 117550508 7263.3
## + occupation 1 3076803 119141352 7271.3
## + south 1 1530433 120687721 7279.0
## + industry 1 1421780 120796374 7279.5
## + married 1 885628 121332526 7282.2
## + ethnicity 1 830636 121387519 7282.4
## <none> 122218154 7284.5
## + weeks 1 64671 122153483 7286.2
## + union 1 10215 122207940 7286.4
##
## Step: AIC=7260.96
## YM ~ education + gender + smsa
##
## Df Sum of Sq RSS AIC
## + experience 1 3681824 113402497 7243.9
## + occupation 1 2438824 114645498 7250.4
## + ethnicity 1 1494428 115589893 7255.3
## + industry 1 1289920 115794402 7256.4
## + married 1 1059185 116025137 7257.5
## + south 1 881624 116202697 7258.5
## <none> 117084321 7261.0
## + weeks 1 32761 117051560 7262.8
## + union 1 5150 117079172 7262.9
##
## Step: AIC=7243.95
## YM ~ education + gender + smsa + experience
##
## Df Sum of Sq RSS AIC
## + occupation 1 2112437 111290061 7234.8
## + ethnicity 1 1599078 111803420 7237.5
## + industry 1 897795 112504702 7241.2
## + south 1 666655 112735843 7242.4
## + married 1 580521 112821976 7242.9
## <none> 113402497 7243.9
## + weeks 1 175973 113226525 7245.0
## + union 1 2300 113400198 7245.9
##
## Step: AIC=7234.76
## YM ~ education + gender + smsa + experience + occupation
##
## Df Sum of Sq RSS AIC
## + ethnicity 1 1490793 109799268 7228.7
## + industry 1 1277208 110012853 7229.9
## + south 1 898041 110392020 7231.9
## + married 1 592449 110697611 7233.6
## <none> 111290061 7234.8
## + weeks 1 150302 111139759 7236.0
## + union 1 149432 111140629 7236.0
##
## Step: AIC=7228.73
## YM ~ education + gender + smsa + experience + occupation + ethnicity
##
## Df Sum of Sq RSS AIC
## + industry 1 1141696 108657572 7224.5
## + south 1 646695 109152573 7227.2
## + married 1 413169 109386099 7228.5
## <none> 109799268 7228.7
## + union 1 157390 109641878 7229.9
## + weeks 1 111460 109687807 7230.1
##
## Step: AIC=7224.51
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry
##
## Df Sum of Sq RSS AIC
## + south 1 488609 108168963 7223.8
## + married 1 367353 108290219 7224.5
## <none> 108657572 7224.5
## + weeks 1 126218 108531354 7225.8
## + union 1 114357 108543214 7225.9
##
## Step: AIC=7223.83
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south
##
## Df Sum of Sq RSS AIC
## <none> 108168963 7223.8
## + married 1 361271 107807692 7223.8
## + weeks 1 111973 108056989 7225.2
## + union 1 51154 108117809 7225.6##
## Call:
## lm(formula = YM ~ education + gender + smsa + experience + occupation +
## ethnicity + industry + south, data = mydata2)
##
## Coefficients:
## (Intercept) education gender1 smsa1 experience occupation1
## -417.552 65.085 426.176 171.077 6.711 172.884
## ethnicity1 industry1 south1
## -178.293 88.607 -65.313step(modelF, scope=list(lower=model0, upper=modelF), direction="forward")## Start: AIC=7226.92
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity##
## Call:
## lm(formula = YM ~ experience + weeks + occupation + industry +
## south + smsa + married + gender + union + education + ethnicity,
## data = mydata2)
##
## Coefficients:
## (Intercept) experience weeks occupation1 industry1 south1
## -564.888 6.578 2.962 180.637 86.693 -59.662
## smsa1 married1 gender1 union1 education ethnicity1
## 169.833 85.620 344.516 25.782 65.257 -167.249#########################################################################
##### Model selection: stepwise algorithms
##### Example 2: first-order models on X1 - X8, Backward elimination
#########################################################################
model0 = lm(YM~1, data=mydata2)
modelF = lm(YM~., data=mydata2)
step(model0, scope=list(lower=model0, upper=modelF), direction="backward")## Start: AIC=7468.15
## YM ~ 1##
## Call:
## lm(formula = YM ~ 1, data = mydata2)
##
## Coefficients:
## (Intercept)
## 1148step(modelF, scope=list(lower=model0, upper=modelF), direction="backward")## Start: AIC=7226.92
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity
##
## Df Sum of Sq RSS AIC
## - union 1 70374 107710551 7225.3
## - weeks 1 130014 107770192 7225.6
## - married 1 325339 107965516 7226.7
## <none> 107640177 7226.9
## - south 1 394974 108035151 7227.1
## - industry 1 938953 108579131 7230.1
## - ethnicity 1 1001378 108641556 7230.4
## - occupation 1 2540232 110180410 7238.8
## - experience 1 2626322 110266499 7239.3
## - gender 1 3413478 111053656 7243.5
## - smsa 1 3505148 111145325 7244.0
## - education 1 10393407 118033584 7279.8
##
## Step: AIC=7225.31
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + education + ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks 1 97140 107807692 7223.8
## - married 1 346438 108056989 7225.2
## <none> 107710551 7225.3
## - south 1 469427 108179978 7225.9
## - industry 1 956829 108667380 7228.6
## - ethnicity 1 986781 108697333 7228.7
## - occupation 1 2500900 110211451 7237.0
## - experience 1 2591635 110302186 7237.5
## - gender 1 3480415 111190966 7242.2
## - smsa 1 3625406 111335957 7243.0
## - education 1 10323251 118033802 7277.8
##
## Step: AIC=7223.84
## YM ~ experience + occupation + industry + south + smsa + married +
## gender + education + ethnicity
##
## Df Sum of Sq RSS AIC
## - married 1 361271 108168963 7223.8
## <none> 107807692 7223.8
## - south 1 482528 108290219 7224.5
## - industry 1 942673 108750365 7227.0
## - ethnicity 1 1011466 108819157 7227.4
## - experience 1 2506604 110314296 7235.5
## - occupation 1 2522219 110329911 7235.6
## - gender 1 3538711 111346403 7241.1
## - smsa 1 3689667 111497358 7241.9
## - education 1 10246852 118054543 7275.9
##
## Step: AIC=7223.83
## YM ~ experience + occupation + industry + south + smsa + gender +
## education + ethnicity
##
## Df Sum of Sq RSS AIC
## <none> 108168963 7223.8
## - south 1 488609 108657572 7224.5
## - industry 1 983610 109152573 7227.2
## - ethnicity 1 1152933 109321896 7228.1
## - occupation 1 2515049 110684012 7235.5
## - experience 1 2840056 111009018 7237.3
## - smsa 1 3600308 111769271 7241.3
## - gender 1 9829554 117998516 7273.6
## - education 1 10453146 118622108 7276.7##
## Call:
## lm(formula = YM ~ experience + occupation + industry + south +
## smsa + gender + education + ethnicity, data = mydata2)
##
## Coefficients:
## (Intercept) experience occupation1 industry1 south1 smsa1
## -417.552 6.711 172.884 88.607 -65.313 171.077
## gender1 education ethnicity1
## 426.176 65.085 -178.293#########################################################################
##### Model selection: stepwise algorithms
##### Example 3: first-order models on X1 - X8, Forward stepwise
#########################################################################
model0 = lm(YM~1, data=mydata2)
modelF = lm(YM~., data=mydata2)
step(model0, scope=list(lower=model0, upper=modelF), direction="both")## Start: AIC=7468.15
## YM ~ 1
##
## Df Sum of Sq RSS AIC
## + education 1 32538301 134997861 7341.7
## + occupation 1 22992077 144544085 7382.3
## + gender 1 12829545 154706617 7422.7
## + married 1 10932833 156603329 7430.0
## + smsa 1 8127541 159408621 7440.6
## + ethnicity 1 5344585 162191577 7450.9
## + south 1 4329602 163206560 7454.6
## + experience 1 1362281 166173881 7465.3
## + union 1 995691 166540471 7466.6
## <none> 167536162 7468.1
## + weeks 1 321828 167214334 7469.0
## + industry 1 121663 167414499 7469.7
##
## Step: AIC=7341.66
## YM ~ education
##
## Df Sum of Sq RSS AIC
## + gender 1 12779707 122218154 7284.5
## + married 1 10254719 124743143 7296.7
## + experience 1 6226451 128771410 7315.6
## + smsa 1 3415108 131582754 7328.4
## + industry 1 3308035 131689826 7328.9
## + ethnicity 1 2694785 132303077 7331.7
## + occupation 1 2192036 132805826 7333.9
## + south 1 2135767 132862094 7334.2
## <none> 134997861 7341.7
## + union 1 330373 134667489 7342.2
## + weeks 1 320629 134677232 7342.2
## - education 1 32538301 167536162 7468.1
##
## Step: AIC=7284.49
## YM ~ education + gender
##
## Df Sum of Sq RSS AIC
## + smsa 1 5133833 117084321 7261.0
## + experience 1 4667646 117550508 7263.3
## + occupation 1 3076803 119141352 7271.3
## + south 1 1530433 120687721 7279.0
## + industry 1 1421780 120796374 7279.5
## + married 1 885628 121332526 7282.2
## + ethnicity 1 830636 121387519 7282.4
## <none> 122218154 7284.5
## + weeks 1 64671 122153483 7286.2
## + union 1 10215 122207940 7286.4
## - gender 1 12779707 134997861 7341.7
## - education 1 32488463 154706617 7422.7
##
## Step: AIC=7260.96
## YM ~ education + gender + smsa
##
## Df Sum of Sq RSS AIC
## + experience 1 3681824 113402497 7243.9
## + occupation 1 2438824 114645498 7250.4
## + ethnicity 1 1494428 115589893 7255.3
## + industry 1 1289920 115794402 7256.4
## + married 1 1059185 116025137 7257.5
## + south 1 881624 116202697 7258.5
## <none> 117084321 7261.0
## + weeks 1 32761 117051560 7262.8
## + union 1 5150 117079172 7262.9
## - smsa 1 5133833 122218154 7284.5
## - gender 1 14498432 131582754 7328.4
## - education 1 26944998 144029319 7382.2
##
## Step: AIC=7243.95
## YM ~ education + gender + smsa + experience
##
## Df Sum of Sq RSS AIC
## + occupation 1 2112437 111290061 7234.8
## + ethnicity 1 1599078 111803420 7237.5
## + industry 1 897795 112504702 7241.2
## + south 1 666655 112735843 7242.4
## + married 1 580521 112821976 7242.9
## <none> 113402497 7243.9
## + weeks 1 175973 113226525 7245.0
## + union 1 2300 113400198 7245.9
## - experience 1 3681824 117084321 7261.0
## - smsa 1 4148011 117550508 7263.3
## - gender 1 12786981 126189478 7305.5
## - education 1 30244311 143646808 7382.6
##
## Step: AIC=7234.76
## YM ~ education + gender + smsa + experience + occupation
##
## Df Sum of Sq RSS AIC
## + ethnicity 1 1490793 109799268 7228.7
## + industry 1 1277208 110012853 7229.9
## + south 1 898041 110392020 7231.9
## + married 1 592449 110697611 7233.6
## <none> 111290061 7234.8
## + weeks 1 150302 111139759 7236.0
## + union 1 149432 111140629 7236.0
## - occupation 1 2112437 113402497 7243.9
## - experience 1 3355437 114645498 7250.4
## - smsa 1 3658161 114948222 7252.0
## - education 1 11406668 122696729 7290.8
## - gender 1 13469904 124759965 7300.7
##
## Step: AIC=7228.73
## YM ~ education + gender + smsa + experience + occupation + ethnicity
##
## Df Sum of Sq RSS AIC
## + industry 1 1141696 108657572 7224.5
## + south 1 646695 109152573 7227.2
## + married 1 413169 109386099 7228.5
## <none> 109799268 7228.7
## + union 1 157390 109641878 7229.9
## + weeks 1 111460 109687807 7230.1
## - ethnicity 1 1490793 111290061 7234.8
## - occupation 1 2004152 111803420 7237.5
## - experience 1 3459487 113258754 7245.2
## - smsa 1 4229138 114028405 7249.2
## - education 1 10612905 120412173 7281.6
## - gender 1 11246775 121046043 7284.8
##
## Step: AIC=7224.51
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry
##
## Df Sum of Sq RSS AIC
## + south 1 488609 108168963 7223.8
## + married 1 367353 108290219 7224.5
## <none> 108657572 7224.5
## + weeks 1 126218 108531354 7225.8
## + union 1 114357 108543214 7225.9
## - industry 1 1141696 109799268 7228.7
## - ethnicity 1 1355281 110012853 7229.9
## - occupation 1 2356722 111014294 7235.3
## - experience 1 2999852 111657424 7238.7
## - smsa 1 4093493 112751065 7244.5
## - gender 1 9943170 118600741 7274.6
## - education 1 11252407 119909979 7281.1
##
## Step: AIC=7223.83
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south
##
## Df Sum of Sq RSS AIC
## <none> 108168963 7223.8
## + married 1 361271 107807692 7223.8
## - south 1 488609 108657572 7224.5
## + weeks 1 111973 108056989 7225.2
## + union 1 51154 108117809 7225.6
## - industry 1 983610 109152573 7227.2
## - ethnicity 1 1152933 109321896 7228.1
## - occupation 1 2515049 110684012 7235.5
## - experience 1 2840056 111009018 7237.3
## - smsa 1 3600308 111769271 7241.3
## - gender 1 9829554 117998516 7273.6
## - education 1 10453146 118622108 7276.7##
## Call:
## lm(formula = YM ~ education + gender + smsa + experience + occupation +
## ethnicity + industry + south, data = mydata2)
##
## Coefficients:
## (Intercept) education gender1 smsa1 experience occupation1
## -417.552 65.085 426.176 171.077 6.711 172.884
## ethnicity1 industry1 south1
## -178.293 88.607 -65.313step(modelF, scope=list(lower=model0, upper=modelF), direction="both")## Start: AIC=7226.92
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity
##
## Df Sum of Sq RSS AIC
## - union 1 70374 107710551 7225.3
## - weeks 1 130014 107770192 7225.6
## - married 1 325339 107965516 7226.7
## <none> 107640177 7226.9
## - south 1 394974 108035151 7227.1
## - industry 1 938953 108579131 7230.1
## - ethnicity 1 1001378 108641556 7230.4
## - occupation 1 2540232 110180410 7238.8
## - experience 1 2626322 110266499 7239.3
## - gender 1 3413478 111053656 7243.5
## - smsa 1 3505148 111145325 7244.0
## - education 1 10393407 118033584 7279.8
##
## Step: AIC=7225.31
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + education + ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks 1 97140 107807692 7223.8
## - married 1 346438 108056989 7225.2
## <none> 107710551 7225.3
## - south 1 469427 108179978 7225.9
## + union 1 70374 107640177 7226.9
## - industry 1 956829 108667380 7228.6
## - ethnicity 1 986781 108697333 7228.7
## - occupation 1 2500900 110211451 7237.0
## - experience 1 2591635 110302186 7237.5
## - gender 1 3480415 111190966 7242.2
## - smsa 1 3625406 111335957 7243.0
## - education 1 10323251 118033802 7277.8
##
## Step: AIC=7223.84
## YM ~ experience + occupation + industry + south + smsa + married +
## gender + education + ethnicity
##
## Df Sum of Sq RSS AIC
## - married 1 361271 108168963 7223.8
## <none> 107807692 7223.8
## - south 1 482528 108290219 7224.5
## + weeks 1 97140 107710551 7225.3
## + union 1 37500 107770192 7225.6
## - industry 1 942673 108750365 7227.0
## - ethnicity 1 1011466 108819157 7227.4
## - experience 1 2506604 110314296 7235.5
## - occupation 1 2522219 110329911 7235.6
## - gender 1 3538711 111346403 7241.1
## - smsa 1 3689667 111497358 7241.9
## - education 1 10246852 118054543 7275.9
##
## Step: AIC=7223.83
## YM ~ experience + occupation + industry + south + smsa + gender +
## education + ethnicity
##
## Df Sum of Sq RSS AIC
## <none> 108168963 7223.8
## + married 1 361271 107807692 7223.8
## - south 1 488609 108657572 7224.5
## + weeks 1 111973 108056989 7225.2
## + union 1 51154 108117809 7225.6
## - industry 1 983610 109152573 7227.2
## - ethnicity 1 1152933 109321896 7228.1
## - occupation 1 2515049 110684012 7235.5
## - experience 1 2840056 111009018 7237.3
## - smsa 1 3600308 111769271 7241.3
## - gender 1 9829554 117998516 7273.6
## - education 1 10453146 118622108 7276.7##
## Call:
## lm(formula = YM ~ experience + occupation + industry + south +
## smsa + gender + education + ethnicity, data = mydata2)
##
## Coefficients:
## (Intercept) experience occupation1 industry1 south1 smsa1
## -417.552 6.711 172.884 88.607 -65.313 171.077
## gender1 education ethnicity1
## 426.176 65.085 -178.293#########################################################################
##### Model selection: stepwise algorithms
##### Example 4: first-order models and models with interactions, Forward selection
#########################################################################
model0 = lm(YM~1, data=mydata2)
modelF = lm(YM~.^2, data=mydata2)
step(model0, scope=list(lower=model0, upper=modelF), direction="forward")## Start: AIC=7468.15
## YM ~ 1
##
## Df Sum of Sq RSS AIC
## + education 1 32538301 134997861 7341.7
## + occupation 1 22992077 144544085 7382.3
## + gender 1 12829545 154706617 7422.7
## + married 1 10932833 156603329 7430.0
## + smsa 1 8127541 159408621 7440.6
## + ethnicity 1 5344585 162191577 7450.9
## + south 1 4329602 163206560 7454.6
## + experience 1 1362281 166173881 7465.3
## + union 1 995691 166540471 7466.6
## <none> 167536162 7468.1
## + weeks 1 321828 167214334 7469.0
## + industry 1 121663 167414499 7469.7
##
## Step: AIC=7341.66
## YM ~ education
##
## Df Sum of Sq RSS AIC
## + gender 1 12779707 122218154 7284.5
## + married 1 10254719 124743143 7296.7
## + experience 1 6226451 128771410 7315.6
## + smsa 1 3415108 131582754 7328.4
## + industry 1 3308035 131689826 7328.9
## + ethnicity 1 2694785 132303077 7331.7
## + occupation 1 2192036 132805826 7333.9
## + south 1 2135767 132862094 7334.2
## <none> 134997861 7341.7
## + union 1 330373 134667489 7342.2
## + weeks 1 320629 134677232 7342.2
##
## Step: AIC=7284.49
## YM ~ education + gender
##
## Df Sum of Sq RSS AIC
## + smsa 1 5133833 117084321 7261.0
## + experience 1 4667646 117550508 7263.3
## + occupation 1 3076803 119141352 7271.3
## + south 1 1530433 120687721 7279.0
## + industry 1 1421780 120796374 7279.5
## + married 1 885628 121332526 7282.2
## + ethnicity 1 830636 121387519 7282.4
## <none> 122218154 7284.5
## + weeks 1 64671 122153483 7286.2
## + gender:education 1 41500 122176655 7286.3
## + union 1 10215 122207940 7286.4
##
## Step: AIC=7260.96
## YM ~ education + gender + smsa
##
## Df Sum of Sq RSS AIC
## + experience 1 3681824 113402497 7243.9
## + occupation 1 2438824 114645498 7250.4
## + ethnicity 1 1494428 115589893 7255.3
## + industry 1 1289920 115794402 7256.4
## + married 1 1059185 116025137 7257.5
## + south 1 881624 116202697 7258.5
## + smsa:education 1 494481 116589841 7260.4
## <none> 117084321 7261.0
## + smsa:gender 1 90405 116993916 7262.5
## + weeks 1 32761 117051560 7262.8
## + gender:education 1 28736 117055586 7262.8
## + union 1 5150 117079172 7262.9
##
## Step: AIC=7243.95
## YM ~ education + gender + smsa + experience
##
## Df Sum of Sq RSS AIC
## + occupation 1 2112437 111290061 7234.8
## + ethnicity 1 1599078 111803420 7237.5
## + industry 1 897795 112504702 7241.2
## + south 1 666655 112735843 7242.4
## + smsa:education 1 598877 112803621 7242.8
## + married 1 580521 112821976 7242.9
## <none> 113402497 7243.9
## + experience:gender 1 335405 113067093 7244.2
## + smsa:gender 1 177714 113224783 7245.0
## + weeks 1 175973 113226525 7245.0
## + gender:education 1 53580 113348918 7245.7
## + experience:education 1 18554 113383944 7245.8
## + union 1 2300 113400198 7245.9
## + experience:smsa 1 948 113401550 7245.9
##
## Step: AIC=7234.76
## YM ~ education + gender + smsa + experience + occupation
##
## Df Sum of Sq RSS AIC
## + ethnicity 1 1490793 109799268 7228.7
## + occupation:education 1 1385398 109904663 7229.3
## + industry 1 1277208 110012853 7229.9
## + south 1 898041 110392020 7231.9
## + married 1 592449 110697611 7233.6
## + smsa:education 1 424265 110865796 7234.5
## <none> 111290061 7234.8
## + experience:occupation 1 346486 110943575 7234.9
## + experience:gender 1 197085 111092976 7235.7
## + smsa:gender 1 175541 111114520 7235.8
## + weeks 1 150302 111139759 7236.0
## + union 1 149432 111140629 7236.0
## + occupation:gender 1 78695 111211366 7236.3
## + experience:education 1 77734 111212327 7236.3
## + gender:education 1 60964 111229097 7236.4
## + occupation:smsa 1 29381 111260680 7236.6
## + experience:smsa 1 9924 111280137 7236.7
##
## Step: AIC=7228.73
## YM ~ education + gender + smsa + experience + occupation + ethnicity
##
## Df Sum of Sq RSS AIC
## + occupation:education 1 1353525 108445743 7223.4
## + industry 1 1141696 108657572 7224.5
## + occupation:ethnicity 1 1066339 108732929 7224.9
## + south 1 646695 109152573 7227.2
## + education:ethnicity 1 493449 109305819 7228.1
## + married 1 413169 109386099 7228.5
## + experience:occupation 1 383390 109415878 7228.7
## <none> 109799268 7228.7
## + occupation:gender 1 362778 109436490 7228.8
## + smsa:education 1 362161 109437106 7228.8
## + gender:ethnicity 1 253895 109545373 7229.4
## + gender:education 1 218448 109580820 7229.5
## + union 1 157390 109641878 7229.9
## + experience:education 1 137568 109661700 7230.0
## + weeks 1 111460 109687807 7230.1
## + experience:ethnicity 1 75548 109723720 7230.3
## + smsa:ethnicity 1 74879 109724389 7230.3
## + smsa:gender 1 70979 109728288 7230.3
## + experience:gender 1 51982 109747285 7230.5
## + experience:smsa 1 20688 109778580 7230.6
## + occupation:smsa 1 13851 109785417 7230.7
##
## Step: AIC=7223.35
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## education:occupation
##
## Df Sum of Sq RSS AIC
## + industry 1 1067950 107377793 7219.5
## + occupation:ethnicity 1 832174 107613568 7220.8
## + experience:occupation 1 789177 107656565 7221.0
## + south 1 721189 107724554 7221.4
## + married 1 496447 107949296 7222.6
## + experience:education 1 383380 108062363 7223.2
## <none> 108445743 7223.4
## + education:ethnicity 1 311668 108134075 7223.6
## + occupation:gender 1 306264 108139479 7223.7
## + gender:ethnicity 1 281068 108164675 7223.8
## + gender:education 1 263202 108182541 7223.9
## + union 1 213582 108232161 7224.2
## + weeks 1 199242 108246501 7224.3
## + smsa:education 1 114026 108331716 7224.7
## + experience:ethnicity 1 88428 108357314 7224.9
## + smsa:gender 1 42042 108403701 7225.1
## + smsa:ethnicity 1 37358 108408385 7225.1
## + experience:smsa 1 36806 108408937 7225.2
## + experience:gender 1 36382 108409361 7225.2
## + occupation:smsa 1 331 108445412 7225.4
##
## Step: AIC=7219.47
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation
##
## Df Sum of Sq RSS AIC
## + industry:education 1 1124480 106253313 7215.2
## + occupation:industry 1 909910 106467882 7216.4
## + occupation:ethnicity 1 810821 106566971 7217.0
## + experience:occupation 1 684802 106692991 7217.7
## + south 1 557481 106820312 7218.4
## + married 1 445524 106932269 7219.0
## <none> 107377793 7219.5
## + gender:education 1 307168 107070625 7219.8
## + education:ethnicity 1 303694 107074099 7219.8
## + experience:education 1 302250 107075543 7219.8
## + industry:smsa 1 280595 107097198 7219.9
## + gender:ethnicity 1 263658 107114135 7220.0
## + occupation:gender 1 258262 107119531 7220.0
## + weeks 1 215449 107162344 7220.3
## + union 1 163053 107214740 7220.6
## + industry:ethnicity 1 90010 107287783 7221.0
## + experience:ethnicity 1 80121 107297671 7221.0
## + smsa:education 1 73622 107304170 7221.1
## + smsa:ethnicity 1 48461 107329331 7221.2
## + smsa:gender 1 48333 107329460 7221.2
## + experience:gender 1 46302 107331491 7221.2
## + industry:gender 1 39298 107338495 7221.2
## + experience:industry 1 22060 107355733 7221.3
## + experience:smsa 1 11669 107366124 7221.4
## + occupation:smsa 1 864 107376929 7221.5
##
## Step: AIC=7215.2
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry
##
## Df Sum of Sq RSS AIC
## + occupation:ethnicity 1 676151 105577162 7213.4
## + industry:smsa 1 560151 105693162 7214.1
## + experience:occupation 1 535565 105717748 7214.2
## + married 1 510970 105742344 7214.3
## + south 1 485529 105767784 7214.5
## <none> 106253313 7215.2
## + union 1 335354 105917959 7215.3
## + education:ethnicity 1 200010 106053304 7216.1
## + industry:ethnicity 1 198607 106054706 7216.1
## + gender:ethnicity 1 189630 106063683 7216.1
## + experience:education 1 184881 106068433 7216.2
## + occupation:gender 1 154977 106098336 7216.3
## + occupation:industry 1 146477 106106836 7216.4
## + weeks 1 142935 106110378 7216.4
## + gender:education 1 120361 106132952 7216.5
## + industry:gender 1 57349 106195964 7216.9
## + smsa:education 1 53934 106199379 7216.9
## + experience:ethnicity 1 52127 106201186 7216.9
## + experience:gender 1 44874 106208439 7216.9
## + smsa:gender 1 33897 106219417 7217.0
## + smsa:ethnicity 1 14163 106239150 7217.1
## + experience:smsa 1 13161 106240153 7217.1
## + occupation:smsa 1 1613 106251700 7217.2
## + experience:industry 1 1005 106252308 7217.2
##
## Step: AIC=7213.4
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry + occupation:ethnicity
##
## Df Sum of Sq RSS AIC
## + industry:smsa 1 644500 104932662 7211.8
## + experience:occupation 1 552534 105024628 7212.3
## + south 1 464656 105112506 7212.8
## + married 1 440262 105136900 7212.9
## + union 1 371162 105206000 7213.3
## <none> 105577162 7213.4
## + experience:education 1 221586 105355576 7214.2
## + weeks 1 138933 105438229 7214.6
## + occupation:industry 1 118387 105458775 7214.7
## + gender:education 1 94754 105482408 7214.9
## + experience:gender 1 86202 105490960 7214.9
## + smsa:education 1 79477 105497685 7215.0
## + experience:ethnicity 1 76083 105501079 7215.0
## + industry:ethnicity 1 74014 105503148 7215.0
## + smsa:gender 1 71543 105505619 7215.0
## + occupation:gender 1 61415 105515747 7215.1
## + gender:ethnicity 1 45833 105531329 7215.1
## + industry:gender 1 36856 105540306 7215.2
## + experience:smsa 1 16310 105560853 7215.3
## + occupation:smsa 1 6967 105570195 7215.4
## + education:ethnicity 1 989 105576173 7215.4
## + smsa:ethnicity 1 483 105576679 7215.4
## + experience:industry 1 385 105576777 7215.4
##
## Step: AIC=7211.76
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry + occupation:ethnicity +
## smsa:industry
##
## Df Sum of Sq RSS AIC
## + experience:occupation 1 530344 104402318 7210.7
## + south 1 484279 104448383 7211.0
## + married 1 450919 104481743 7211.2
## <none> 104932662 7211.8
## + union 1 327870 104604792 7211.9
## + experience:education 1 181278 104751384 7212.7
## + smsa:gender 1 172324 104760338 7212.8
## + industry:ethnicity 1 156178 104776484 7212.9
## + occupation:industry 1 153909 104778754 7212.9
## + weeks 1 119779 104812883 7213.1
## + experience:gender 1 112328 104820334 7213.1
## + experience:ethnicity 1 91884 104840779 7213.2
## + gender:education 1 86676 104845986 7213.3
## + occupation:gender 1 72525 104860137 7213.3
## + industry:gender 1 66698 104865964 7213.4
## + experience:smsa 1 49222 104883440 7213.5
## + gender:ethnicity 1 25558 104907104 7213.6
## + occupation:smsa 1 12806 104919857 7213.7
## + experience:industry 1 8722 104923940 7213.7
## + education:ethnicity 1 5070 104927592 7213.7
## + smsa:education 1 3164 104929499 7213.7
## + smsa:ethnicity 1 47 104932615 7213.8
##
## Step: AIC=7210.74
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry + occupation:ethnicity +
## smsa:industry + experience:occupation
##
## Df Sum of Sq RSS AIC
## + south 1 471832 103930487 7210.0
## + married 1 453018 103949300 7210.2
## <none> 104402318 7210.7
## + union 1 303878 104098440 7211.0
## + industry:ethnicity 1 197575 104204743 7211.6
## + smsa:gender 1 161451 104240867 7211.8
## + weeks 1 108363 104293955 7212.1
## + occupation:industry 1 105173 104297145 7212.1
## + experience:gender 1 101740 104300578 7212.2
## + industry:gender 1 73553 104328765 7212.3
## + gender:education 1 64519 104337800 7212.4
## + experience:ethnicity 1 61764 104340554 7212.4
## + experience:industry 1 52310 104350008 7212.4
## + occupation:gender 1 43082 104359236 7212.5
## + gender:ethnicity 1 32020 104370298 7212.6
## + occupation:smsa 1 28581 104373737 7212.6
## + experience:smsa 1 14214 104388105 7212.7
## + education:ethnicity 1 6402 104395916 7212.7
## + experience:education 1 898 104401421 7212.7
## + smsa:ethnicity 1 100 104402218 7212.7
## + smsa:education 1 24 104402294 7212.7
##
## Step: AIC=7210.05
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation
##
## Df Sum of Sq RSS AIC
## + south:education 1 519525 103410961 7209.1
## + married 1 447670 103482816 7209.5
## <none> 103930487 7210.0
## + industry:south 1 229392 103701095 7210.7
## + industry:ethnicity 1 198305 103732181 7210.9
## + union 1 192120 103738367 7210.9
## + south:smsa 1 161737 103768749 7211.1
## + smsa:gender 1 154361 103776126 7211.2
## + experience:south 1 124131 103806355 7211.3
## + experience:gender 1 107397 103823089 7211.4
## + occupation:industry 1 99264 103831222 7211.5
## + weeks 1 98545 103831941 7211.5
## + industry:gender 1 73494 103856993 7211.6
## + experience:ethnicity 1 57734 103872753 7211.7
## + gender:education 1 49484 103881003 7211.8
## + gender:ethnicity 1 40744 103889743 7211.8
## + occupation:gender 1 33842 103896645 7211.9
## + south:gender 1 33772 103896715 7211.9
## + south:ethnicity 1 30036 103900451 7211.9
## + experience:industry 1 27283 103903204 7211.9
## + occupation:south 1 24829 103905658 7211.9
## + smsa:education 1 13291 103917196 7212.0
## + occupation:smsa 1 11076 103919410 7212.0
## + education:ethnicity 1 8894 103921593 7212.0
## + experience:smsa 1 6650 103923837 7212.0
## + smsa:ethnicity 1 3178 103927308 7212.0
## + experience:education 1 582 103929905 7212.0
##
## Step: AIC=7209.07
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation +
## education:south
##
## Df Sum of Sq RSS AIC
## + industry:south 1 551781 102859180 7207.9
## + married 1 417873 102993088 7208.7
## <none> 103410961 7209.1
## + union 1 223565 103187397 7209.8
## + industry:ethnicity 1 186588 103224374 7210.0
## + smsa:gender 1 164018 103246944 7210.1
## + experience:gender 1 157590 103253371 7210.2
## + weeks 1 138772 103272190 7210.3
## + occupation:south 1 124031 103286930 7210.4
## + south:ethnicity 1 64933 103346029 7210.7
## + occupation:industry 1 63574 103347387 7210.7
## + industry:gender 1 46721 103364240 7210.8
## + experience:ethnicity 1 45195 103365766 7210.8
## + south:smsa 1 45100 103365862 7210.8
## + experience:industry 1 42364 103368598 7210.8
## + south:gender 1 40530 103370431 7210.8
## + gender:ethnicity 1 40192 103370769 7210.8
## + gender:education 1 40048 103370913 7210.8
## + experience:south 1 34167 103376794 7210.9
## + occupation:gender 1 33210 103377751 7210.9
## + occupation:smsa 1 25832 103385130 7210.9
## + experience:smsa 1 17478 103393483 7211.0
## + experience:education 1 5433 103405528 7211.0
## + smsa:education 1 4209 103406752 7211.0
## + education:ethnicity 1 3080 103407881 7211.1
## + smsa:ethnicity 1 41 103410920 7211.1
##
## Step: AIC=7207.88
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation +
## education:south + industry:south
##
## Df Sum of Sq RSS AIC
## + married 1 421610 102437569 7207.4
## <none> 102859180 7207.9
## + industry:ethnicity 1 288163 102571017 7208.2
## + union 1 204920 102654260 7208.7
## + smsa:gender 1 170512 102688668 7208.9
## + experience:gender 1 149982 102709198 7209.0
## + weeks 1 126871 102732309 7209.2
## + south:ethnicity 1 96035 102763145 7209.3
## + occupation:industry 1 72664 102786516 7209.5
## + industry:gender 1 56754 102802426 7209.6
## + south:smsa 1 56696 102802484 7209.6
## + occupation:south 1 56655 102802525 7209.6
## + gender:education 1 55718 102803462 7209.6
## + experience:ethnicity 1 47454 102811726 7209.6
## + occupation:gender 1 43619 102815561 7209.6
## + occupation:smsa 1 33120 102826060 7209.7
## + experience:south 1 28202 102830978 7209.7
## + gender:ethnicity 1 26742 102832438 7209.7
## + experience:industry 1 23980 102835200 7209.7
## + experience:smsa 1 13352 102845828 7209.8
## + experience:education 1 7933 102851246 7209.8
## + education:ethnicity 1 5026 102854154 7209.9
## + south:gender 1 5016 102854163 7209.9
## + smsa:education 1 2611 102856568 7209.9
## + smsa:ethnicity 1 1097 102858083 7209.9
##
## Step: AIC=7207.44
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + married + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation +
## education:south + industry:south
##
## Df Sum of Sq RSS AIC
## <none> 102437569 7207.4
## + industry:ethnicity 1 260702 102176867 7207.9
## + smsa:gender 1 179014 102258555 7208.4
## + union 1 176884 102260686 7208.4
## + experience:gender 1 141401 102296169 7208.6
## + weeks 1 109027 102328542 7208.8
## + smsa:married 1 96432 102341138 7208.9
## + occupation:industry 1 86460 102351110 7208.9
## + experience:ethnicity 1 78662 102358907 7209.0
## + industry:married 1 76039 102361530 7209.0
## + south:ethnicity 1 68629 102368941 7209.0
## + industry:gender 1 66334 102371236 7209.1
## + occupation:south 1 60065 102377504 7209.1
## + south:smsa 1 59869 102377701 7209.1
## + gender:education 1 51981 102385589 7209.1
## + occupation:gender 1 43170 102394399 7209.2
## + occupation:smsa 1 39144 102398425 7209.2
## + experience:industry 1 34537 102403032 7209.2
## + married:ethnicity 1 31341 102406228 7209.3
## + experience:south 1 30287 102407283 7209.3
## + married:education 1 25224 102412345 7209.3
## + occupation:married 1 19975 102417594 7209.3
## + gender:ethnicity 1 19351 102418218 7209.3
## + education:ethnicity 1 13010 102424559 7209.4
## + experience:married 1 12854 102424716 7209.4
## + experience:smsa 1 7030 102430539 7209.4
## + south:married 1 6446 102431124 7209.4
## + smsa:education 1 4111 102433459 7209.4
## + experience:education 1 3936 102433633 7209.4
## + south:gender 1 1698 102435871 7209.4
## + married:gender 1 1 102437568 7209.4
## + smsa:ethnicity 1 0 102437569 7209.4##
## Call:
## lm(formula = YM ~ education + gender + smsa + experience + occupation +
## ethnicity + industry + south + married + education:occupation +
## education:industry + occupation:ethnicity + smsa:industry +
## experience:occupation + education:south + industry:south,
## data = mydata2)
##
## Coefficients:
## (Intercept) education gender1
## 4.433 28.979 358.467
## smsa1 experience occupation1
## 249.499 2.762 -692.981
## ethnicity1 industry1 south1
## -87.488 -171.323 372.508
## married1 education:occupation1 education:industry1
## 97.683 57.684 30.091
## occupation1:ethnicity1 smsa1:industry1 experience:occupation1
## -258.882 -150.198 6.140
## education:south1 industry1:south1
## -30.238 -155.169step(modelF, scope=list(lower=model0, upper=modelF), direction="forward")## Start: AIC=7239
## YM ~ (experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity)^2##
## Call:
## lm(formula = YM ~ (experience + weeks + occupation + industry +
## south + smsa + married + gender + union + education + ethnicity)^2,
## data = mydata2)
##
## Coefficients:
## (Intercept) experience weeks
## -7.449e+02 2.186e+01 7.381e+00
## occupation1 industry1 south1
## -8.173e+02 2.166e+02 1.003e+03
## smsa1 married1 gender1
## 5.009e+02 -1.478e+03 1.602e+03
## union1 education ethnicity1
## 1.208e+03 3.464e+01 -6.543e+01
## experience:weeks experience:occupation1 experience:industry1
## -4.651e-01 6.081e+00 -3.223e-01
## experience:south1 experience:smsa1 experience:married1
## -5.065e-01 1.078e+00 -4.836e+00
## experience:gender1 experience:union1 experience:education
## 8.075e+00 -3.395e+00 3.091e-03
## experience:ethnicity1 weeks:occupation1 weeks:industry1
## -7.168e+00 9.437e+00 -2.022e+00
## weeks:south1 weeks:smsa1 weeks:married1
## -6.870e+00 -8.398e+00 3.987e+01
## weeks:gender1 weeks:union1 weeks:education
## -3.526e+01 -1.277e+00 7.587e-01
## weeks:ethnicity1 occupation1:industry1 occupation1:south1
## 1.135e+01 6.487e+00 1.620e+01
## occupation1:smsa1 occupation1:married1 occupation1:gender1
## -2.445e+01 -9.027e+01 6.534e+01
## occupation1:union1 occupation1:education occupation1:ethnicity1
## -1.788e+02 3.817e+01 -1.025e+02
## industry1:south1 industry1:smsa1 industry1:married1
## -1.994e+02 -1.316e+02 5.612e+01
## industry1:gender1 industry1:union1 industry1:education
## -1.369e+02 -2.160e+02 1.465e+01
## industry1:ethnicity1 south1:smsa1 south1:married1
## 1.919e+02 -5.662e+01 -3.887e+01
## south1:gender1 south1:union1 south1:education
## 6.854e+01 -8.530e+00 -5.219e+01
## south1:ethnicity1 smsa1:married1 smsa1:gender1
## -1.411e+01 3.095e+01 1.894e+02
## smsa1:union1 smsa1:education smsa1:ethnicity1
## -1.179e+02 -1.850e+00 -9.783e+01
## married1:gender1 married1:union1 married1:education
## -1.612e+02 -1.814e+02 -8.903e-01
## married1:ethnicity1 gender1:union1 gender1:education
## 3.191e+02 1.514e+02 4.197e+00
## gender1:ethnicity1 union1:education union1:ethnicity1
## -5.803e+02 -6.275e+01 1.228e+02
## education:ethnicity1
## -1.890e+01#########################################################################
##### Model selection: stepwise algorithms
##### Example 5: first-order models and models with interactions, Backward elimination
#########################################################################
model0 = lm(YM~1, data=mydata2)
modelF = lm(YM~.^2, data=mydata2)
step(model0, scope=list(lower=model0, upper=modelF), direction="backward")## Start: AIC=7468.15
## YM ~ 1##
## Call:
## lm(formula = YM ~ 1, data = mydata2)
##
## Coefficients:
## (Intercept)
## 1148step(modelF, scope=list(lower=model0, upper=modelF), direction="backward")## Start: AIC=7239
## YM ~ (experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity)^2
##
## Df Sum of Sq RSS AIC
## - experience:education 1 2 91306975 7237.0
## - married:education 1 86 91307059 7237.0
## - occupation:industry 1 618 91307591 7237.0
## - south:ethnicity 1 935 91307908 7237.0
## - south:union 1 1058 91308031 7237.0
## - experience:industry 1 1253 91308226 7237.0
## - gender:education 1 1302 91308275 7237.0
## - smsa:education 1 1486 91308459 7237.0
## - experience:south 1 2308 91309281 7237.0
## - weeks:union 1 3410 91310383 7237.0
## - occupation:south 1 3613 91310586 7237.0
## - smsa:married 1 7733 91314706 7237.1
## - weeks:industry 1 8024 91314997 7237.1
## - occupation:smsa 1 8372 91315345 7237.1
## - occupation:gender 1 9729 91316702 7237.1
## - south:married 1 10650 91317623 7237.1
## - experience:smsa 1 12485 91319458 7237.1
## - married:gender 1 18994 91325967 7237.1
## - smsa:ethnicity 1 20640 91327613 7237.1
## - south:gender 1 21308 91328281 7237.1
## - industry:married 1 24114 91331087 7237.2
## - weeks:education 1 24415 91331388 7237.2
## - occupation:married 1 27245 91334218 7237.2
## - education:ethnicity 1 44180 91351154 7237.3
## - occupation:ethnicity 1 44502 91351475 7237.3
## - industry:gender 1 63323 91370296 7237.4
## - weeks:ethnicity 1 64682 91371655 7237.4
## - south:smsa 1 64812 91371785 7237.4
## - union:ethnicity 1 76462 91383435 7237.5
## - gender:union 1 79645 91386618 7237.5
## - experience:married 1 87133 91394106 7237.6
## - industry:education 1 95204 91402177 7237.6
## - experience:union 1 100023 91406996 7237.7
## - weeks:occupation 1 102123 91409096 7237.7
## - weeks:south 1 106528 91413501 7237.7
## - experience:gender 1 126347 91433320 7237.8
## - smsa:gender 1 144747 91451720 7237.9
## - experience:ethnicity 1 150793 91457767 7238.0
## - weeks:smsa 1 156782 91463756 7238.0
## - married:union 1 190094 91497067 7238.2
## - industry:ethnicity 1 202542 91509515 7238.3
## - married:ethnicity 1 207185 91514158 7238.3
## - experience:weeks 1 241038 91548011 7238.6
## - smsa:union 1 247436 91554409 7238.6
## - experience:occupation 1 279817 91586790 7238.8
## <none> 91306973 7239.0
## - industry:smsa 1 395448 91702421 7239.6
## - occupation:union 1 411142 91718115 7239.7
## - gender:ethnicity 1 562906 91869879 7240.7
## - occupation:education 1 620025 91926998 7241.0
## - industry:south 1 752501 92059474 7241.9
## - weeks:gender 1 838327 92145300 7242.4
## - industry:union 1 900259 92207232 7242.8
## - south:education 1 1168423 92475396 7244.6
## - union:education 1 1301618 92608591 7245.4
## - weeks:married 1 1505379 92812352 7246.7
##
## Step: AIC=7237
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:industry + occupation:south + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:union + south:education + south:ethnicity +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:education +
## married:ethnicity + gender:union + gender:education + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:education 1 84 91307059 7235.0
## - occupation:industry 1 620 91307596 7235.0
## - south:ethnicity 1 933 91307908 7235.0
## - south:union 1 1057 91308032 7235.0
## - experience:industry 1 1257 91308232 7235.0
## - gender:education 1 1303 91308279 7235.0
## - smsa:education 1 1484 91308459 7235.0
## - experience:south 1 2390 91309365 7235.0
## - weeks:union 1 3421 91310396 7235.0
## - occupation:south 1 3633 91310609 7235.0
## - smsa:married 1 7732 91314707 7235.1
## - weeks:industry 1 8022 91314997 7235.1
## - occupation:smsa 1 8374 91315349 7235.1
## - occupation:gender 1 9727 91316703 7235.1
## - south:married 1 10653 91317628 7235.1
## - experience:smsa 1 12807 91319783 7235.1
## - married:gender 1 19081 91326057 7235.1
## - smsa:ethnicity 1 20653 91327629 7235.1
## - south:gender 1 21384 91328360 7235.1
## - industry:married 1 24263 91331238 7235.2
## - weeks:education 1 24543 91331519 7235.2
## - occupation:married 1 27348 91334324 7235.2
## - education:ethnicity 1 44392 91351368 7235.3
## - occupation:ethnicity 1 44500 91351475 7235.3
## - industry:gender 1 63586 91370561 7235.4
## - south:smsa 1 64843 91371818 7235.4
## - weeks:ethnicity 1 64860 91371835 7235.4
## - union:ethnicity 1 76486 91383462 7235.5
## - gender:union 1 79660 91386636 7235.5
## - experience:married 1 87333 91394308 7235.6
## - industry:education 1 95350 91402326 7235.6
## - experience:union 1 101742 91408718 7235.7
## - weeks:occupation 1 102533 91409509 7235.7
## - weeks:south 1 107228 91414204 7235.7
## - experience:gender 1 127006 91433981 7235.8
## - smsa:gender 1 144756 91451731 7235.9
## - experience:ethnicity 1 150947 91457923 7236.0
## - weeks:smsa 1 156782 91463758 7236.0
## - married:union 1 190407 91497382 7236.2
## - industry:ethnicity 1 202927 91509903 7236.3
## - married:ethnicity 1 207392 91514367 7236.3
## - experience:weeks 1 241189 91548164 7236.6
## - smsa:union 1 247669 91554645 7236.6
## <none> 91306975 7237.0
## - industry:smsa 1 397490 91704466 7237.6
## - experience:occupation 1 410984 91717960 7237.7
## - occupation:union 1 422118 91729093 7237.7
## - gender:ethnicity 1 563265 91870240 7238.7
## - occupation:education 1 621310 91928286 7239.0
## - industry:south 1 754162 92061138 7239.9
## - weeks:gender 1 843006 92149982 7240.5
## - industry:union 1 904630 92211605 7240.9
## - south:education 1 1180347 92487322 7242.6
## - union:education 1 1318095 92625071 7243.5
## - weeks:married 1 1507936 92814912 7244.7
##
## Step: AIC=7235
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:industry + occupation:south + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:union + south:education + south:ethnicity +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:industry 1 655 91307714 7233.0
## - south:ethnicity 1 938 91307997 7233.0
## - south:union 1 1043 91308102 7233.0
## - experience:industry 1 1318 91308377 7233.0
## - smsa:education 1 1460 91308519 7233.0
## - gender:education 1 2086 91309145 7233.0
## - experience:south 1 2376 91309435 7233.0
## - weeks:union 1 3408 91310467 7233.0
## - occupation:south 1 3698 91310757 7233.0
## - smsa:married 1 7696 91314755 7233.1
## - weeks:industry 1 8185 91315244 7233.1
## - occupation:smsa 1 8455 91315514 7233.1
## - south:married 1 10656 91317715 7233.1
## - experience:smsa 1 12992 91320051 7233.1
## - occupation:gender 1 15753 91322812 7233.1
## - married:gender 1 18998 91326057 7233.1
## - smsa:ethnicity 1 20570 91327629 7233.1
## - south:gender 1 21398 91328457 7233.1
## - weeks:education 1 24626 91331685 7233.2
## - industry:married 1 26885 91333944 7233.2
## - education:ethnicity 1 44479 91351538 7233.3
## - occupation:ethnicity 1 44751 91351810 7233.3
## - occupation:married 1 60906 91367965 7233.4
## - south:smsa 1 64928 91371987 7233.4
## - industry:gender 1 66135 91373194 7233.4
## - weeks:ethnicity 1 66321 91373380 7233.4
## - union:ethnicity 1 76698 91383757 7233.5
## - gender:union 1 79751 91386810 7233.5
## - experience:married 1 89098 91396157 7233.6
## - industry:education 1 95307 91402366 7233.6
## - experience:union 1 101844 91408903 7233.7
## - weeks:occupation 1 102452 91409511 7233.7
## - weeks:south 1 107633 91414692 7233.7
## - experience:gender 1 127691 91434750 7233.8
## - smsa:gender 1 144694 91451753 7233.9
## - experience:ethnicity 1 151353 91458412 7234.0
## - weeks:smsa 1 156729 91463788 7234.0
## - married:union 1 190406 91497465 7234.2
## - industry:ethnicity 1 202860 91509919 7234.3
## - married:ethnicity 1 236420 91543479 7234.5
## - experience:weeks 1 242203 91549262 7234.6
## - smsa:union 1 247678 91554737 7234.6
## <none> 91307059 7235.0
## - industry:smsa 1 397407 91704467 7235.6
## - experience:occupation 1 410932 91717991 7235.7
## - occupation:union 1 422222 91729281 7235.7
## - gender:ethnicity 1 621670 91928729 7237.0
## - occupation:education 1 621762 91928821 7237.0
## - industry:south 1 755862 92062921 7237.9
## - weeks:gender 1 843241 92150300 7238.5
## - industry:union 1 904547 92211606 7238.9
## - south:education 1 1180683 92487742 7240.6
## - union:education 1 1319487 92626546 7241.5
## - weeks:married 1 1514222 92821281 7242.8
##
## Step: AIC=7233
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:union +
## south:education + south:ethnicity + smsa:married + smsa:gender +
## smsa:union + smsa:education + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:education +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:ethnicity 1 894 91308609 7231.0
## - south:union 1 1100 91308815 7231.0
## - experience:industry 1 1131 91308845 7231.0
## - smsa:education 1 1302 91309017 7231.0
## - gender:education 1 1747 91309461 7231.0
## - experience:south 1 2243 91309958 7231.0
## - weeks:union 1 3477 91311191 7231.0
## - occupation:south 1 3543 91311257 7231.0
## - smsa:married 1 7559 91315274 7231.1
## - weeks:industry 1 8188 91315903 7231.1
## - occupation:smsa 1 8340 91316054 7231.1
## - south:married 1 10496 91318211 7231.1
## - experience:smsa 1 13368 91321082 7231.1
## - occupation:gender 1 16780 91324494 7231.1
## - married:gender 1 19004 91326719 7231.1
## - smsa:ethnicity 1 20751 91328465 7231.1
## - south:gender 1 21158 91328872 7231.1
## - weeks:education 1 25791 91333505 7231.2
## - industry:married 1 26940 91334654 7231.2
## - occupation:ethnicity 1 44209 91351924 7231.3
## - education:ethnicity 1 45216 91352931 7231.3
## - occupation:married 1 60251 91367966 7231.4
## - south:smsa 1 64518 91372232 7231.4
## - industry:gender 1 65577 91373291 7231.4
## - weeks:ethnicity 1 67968 91375683 7231.4
## - union:ethnicity 1 77438 91385153 7231.5
## - gender:union 1 79225 91386939 7231.5
## - experience:married 1 89676 91397391 7231.6
## - weeks:occupation 1 101939 91409653 7231.7
## - experience:union 1 102977 91410692 7231.7
## - weeks:south 1 108557 91416272 7231.7
## - experience:gender 1 128598 91436312 7231.8
## - industry:education 1 143217 91450931 7231.9
## - smsa:gender 1 144843 91452557 7231.9
## - experience:ethnicity 1 152497 91460211 7232.0
## - weeks:smsa 1 156504 91464219 7232.0
## - married:union 1 189990 91497704 7232.2
## - industry:ethnicity 1 203710 91511424 7232.3
## - married:ethnicity 1 237397 91545111 7232.5
## - experience:weeks 1 243623 91551337 7232.6
## - smsa:union 1 248743 91556458 7232.6
## <none> 91307714 7233.0
## - industry:smsa 1 397791 91705505 7233.6
## - experience:occupation 1 412653 91720368 7233.7
## - occupation:union 1 426855 91734570 7233.8
## - occupation:education 1 621645 91929359 7235.0
## - gender:ethnicity 1 626490 91934205 7235.1
## - industry:south 1 758603 92066317 7235.9
## - weeks:gender 1 842590 92150305 7236.5
## - industry:union 1 1034938 92342652 7237.7
## - south:education 1 1181633 92489348 7238.7
## - union:education 1 1332643 92640357 7239.6
## - weeks:married 1 1513613 92821327 7240.8
##
## Step: AIC=7231.01
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:union +
## south:education + smsa:married + smsa:gender + smsa:union +
## smsa:education + smsa:ethnicity + married:gender + married:union +
## married:ethnicity + gender:union + gender:education + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:union 1 1105 91309714 7229.0
## - experience:industry 1 1117 91309726 7229.0
## - smsa:education 1 1252 91309861 7229.0
## - gender:education 1 1727 91310335 7229.0
## - experience:south 1 2552 91311161 7229.0
## - weeks:union 1 3354 91311963 7229.0
## - occupation:south 1 3740 91312349 7229.0
## - smsa:married 1 7467 91316076 7229.1
## - weeks:industry 1 7787 91316396 7229.1
## - occupation:smsa 1 8195 91316804 7229.1
## - south:married 1 10035 91318644 7229.1
## - experience:smsa 1 13158 91321767 7229.1
## - occupation:gender 1 16014 91324622 7229.1
## - married:gender 1 19165 91327774 7229.1
## - south:gender 1 22202 91330811 7229.2
## - smsa:ethnicity 1 22937 91331546 7229.2
## - industry:married 1 26432 91335041 7229.2
## - weeks:education 1 27066 91335675 7229.2
## - occupation:ethnicity 1 45927 91354535 7229.3
## - education:ethnicity 1 46242 91354851 7229.3
## - occupation:married 1 59706 91368315 7229.4
## - industry:gender 1 66906 91375515 7229.4
## - weeks:ethnicity 1 69598 91378207 7229.5
## - south:smsa 1 72426 91381035 7229.5
## - gender:union 1 78677 91387286 7229.5
## - union:ethnicity 1 89603 91398212 7229.6
## - experience:married 1 90060 91398668 7229.6
## - weeks:occupation 1 101177 91409786 7229.7
## - experience:union 1 102250 91410859 7229.7
## - weeks:south 1 107679 91416288 7229.7
## - experience:gender 1 128151 91436760 7229.8
## - industry:education 1 144749 91453358 7230.0
## - smsa:gender 1 146220 91454828 7230.0
## - weeks:smsa 1 156815 91465423 7230.0
## - experience:ethnicity 1 162705 91471314 7230.1
## - married:union 1 192822 91501431 7230.3
## - industry:ethnicity 1 204624 91513233 7230.3
## - experience:weeks 1 243385 91551994 7230.6
## - smsa:union 1 248153 91556762 7230.6
## - married:ethnicity 1 255771 91564380 7230.7
## <none> 91308609 7231.0
## - industry:smsa 1 400501 91709110 7231.6
## - experience:occupation 1 411762 91720371 7231.7
## - occupation:union 1 437048 91745657 7231.9
## - occupation:education 1 623737 91932346 7233.1
## - gender:ethnicity 1 634497 91943106 7233.1
## - industry:south 1 758484 92067092 7233.9
## - weeks:gender 1 896795 92205403 7234.8
## - industry:union 1 1034530 92343138 7235.7
## - south:education 1 1182880 92491489 7236.7
## - union:education 1 1332718 92641327 7237.6
## - weeks:married 1 1570636 92879244 7239.2
##
## Step: AIC=7229.02
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:industry 1 1087 91310801 7227.0
## - smsa:education 1 1422 91311135 7227.0
## - gender:education 1 1727 91311440 7227.0
## - experience:south 1 2304 91312018 7227.0
## - weeks:union 1 3183 91312897 7227.0
## - occupation:south 1 5314 91315028 7227.1
## - occupation:smsa 1 7325 91317038 7227.1
## - weeks:industry 1 7561 91317274 7227.1
## - smsa:married 1 7616 91317330 7227.1
## - south:married 1 10679 91320393 7227.1
## - experience:smsa 1 13141 91322854 7227.1
## - occupation:gender 1 15627 91325340 7227.1
## - married:gender 1 18935 91328649 7227.1
## - south:gender 1 21354 91331067 7227.2
## - smsa:ethnicity 1 22401 91332115 7227.2
## - industry:married 1 25952 91335665 7227.2
## - weeks:education 1 27745 91337458 7227.2
## - education:ethnicity 1 47106 91356819 7227.3
## - occupation:ethnicity 1 48537 91358251 7227.3
## - occupation:married 1 59072 91368786 7227.4
## - industry:gender 1 66784 91376498 7227.5
## - weeks:ethnicity 1 70281 91379994 7227.5
## - south:smsa 1 74168 91383881 7227.5
## - gender:union 1 77574 91387288 7227.5
## - union:ethnicity 1 88632 91398345 7227.6
## - experience:married 1 92173 91401886 7227.6
## - weeks:occupation 1 100385 91410098 7227.7
## - experience:union 1 101329 91411043 7227.7
## - weeks:south 1 107123 91416836 7227.7
## - experience:gender 1 128486 91438199 7227.9
## - industry:education 1 143665 91453378 7228.0
## - smsa:gender 1 146103 91455816 7228.0
## - weeks:smsa 1 158735 91468448 7228.1
## - experience:ethnicity 1 162464 91472178 7228.1
## - married:union 1 192607 91502321 7228.3
## - industry:ethnicity 1 204550 91514263 7228.3
## - experience:weeks 1 243451 91553164 7228.6
## - smsa:union 1 252834 91562548 7228.7
## - married:ethnicity 1 258376 91568089 7228.7
## <none> 91309714 7229.0
## - industry:smsa 1 407013 91716727 7229.7
## - experience:occupation 1 422158 91731872 7229.8
## - occupation:union 1 447226 91756939 7229.9
## - occupation:education 1 630284 91939997 7231.1
## - gender:ethnicity 1 634198 91943911 7231.1
## - industry:south 1 766957 92076671 7232.0
## - weeks:gender 1 898271 92207985 7232.8
## - industry:union 1 1033427 92343140 7233.7
## - south:education 1 1190365 92500078 7234.7
## - union:education 1 1380414 92690128 7235.9
## - weeks:married 1 1570625 92880339 7237.2
##
## Step: AIC=7227.02
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:south + experience:smsa +
## experience:married + experience:gender + experience:union +
## experience:ethnicity + weeks:occupation + weeks:industry +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:union + weeks:education + weeks:ethnicity + occupation:south +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:education 1 1342 91312143 7225.0
## - gender:education 1 1666 91312467 7225.0
## - experience:south 1 1838 91312638 7225.0
## - weeks:union 1 3087 91313888 7225.0
## - occupation:south 1 5086 91315886 7225.1
## - weeks:industry 1 7030 91317830 7225.1
## - smsa:married 1 7557 91318358 7225.1
## - occupation:smsa 1 7717 91318518 7225.1
## - south:married 1 11108 91321909 7225.1
## - experience:smsa 1 13292 91324093 7225.1
## - occupation:gender 1 15599 91326400 7225.1
## - married:gender 1 19115 91329915 7225.1
## - south:gender 1 21809 91332609 7225.2
## - smsa:ethnicity 1 22234 91333034 7225.2
## - industry:married 1 25124 91335925 7225.2
## - weeks:education 1 27583 91338384 7225.2
## - education:ethnicity 1 47495 91358296 7225.3
## - occupation:ethnicity 1 48161 91358961 7225.3
## - occupation:married 1 60106 91370907 7225.4
## - industry:gender 1 66629 91377429 7225.5
## - weeks:ethnicity 1 69830 91380631 7225.5
## - south:smsa 1 74029 91384830 7225.5
## - gender:union 1 78783 91389583 7225.5
## - union:ethnicity 1 87983 91398784 7225.6
## - experience:married 1 92371 91403171 7225.6
## - weeks:occupation 1 101606 91412407 7225.7
## - experience:union 1 102933 91413734 7225.7
## - weeks:south 1 106514 91417314 7225.7
## - experience:gender 1 127800 91438600 7225.9
## - smsa:gender 1 146555 91457356 7226.0
## - industry:education 1 158263 91469064 7226.1
## - weeks:smsa 1 159069 91469869 7226.1
## - experience:ethnicity 1 161453 91472253 7226.1
## - married:union 1 194039 91504839 7226.3
## - industry:ethnicity 1 204282 91515082 7226.4
## - experience:weeks 1 242367 91553167 7226.6
## - smsa:union 1 251810 91562611 7226.7
## - married:ethnicity 1 260542 91571342 7226.7
## <none> 91310801 7227.0
## - industry:smsa 1 421468 91732269 7227.8
## - experience:occupation 1 436887 91747688 7227.9
## - occupation:union 1 446139 91756939 7227.9
## - occupation:education 1 629812 91940613 7229.1
## - gender:ethnicity 1 636293 91947094 7229.2
## - industry:south 1 768557 92079357 7230.0
## - weeks:gender 1 898368 92209169 7230.9
## - industry:union 1 1037784 92348585 7231.7
## - south:education 1 1189279 92500079 7232.7
## - union:education 1 1385837 92696637 7234.0
## - weeks:married 1 1572634 92883435 7235.2
##
## Step: AIC=7225.03
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:south + experience:smsa +
## experience:married + experience:gender + experience:union +
## experience:ethnicity + weeks:occupation + weeks:industry +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:union + weeks:education + weeks:ethnicity + occupation:south +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:education + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:south 1 1717 91313860 7223.0
## - gender:education 1 1905 91314048 7223.0
## - weeks:union 1 3051 91315194 7223.1
## - occupation:south 1 4334 91316477 7223.1
## - weeks:industry 1 7045 91319187 7223.1
## - smsa:married 1 7313 91319455 7223.1
## - south:married 1 11262 91323404 7223.1
## - occupation:gender 1 15426 91327569 7223.1
## - experience:smsa 1 16694 91328837 7223.1
## - occupation:smsa 1 17469 91329612 7223.1
## - married:gender 1 18927 91331070 7223.2
## - smsa:ethnicity 1 21150 91333292 7223.2
## - south:gender 1 21720 91333863 7223.2
## - industry:married 1 24906 91337049 7223.2
## - weeks:education 1 27314 91339457 7223.2
## - occupation:ethnicity 1 47067 91359210 7223.3
## - education:ethnicity 1 53868 91366011 7223.4
## - occupation:married 1 60788 91372931 7223.4
## - industry:gender 1 66322 91378465 7223.5
## - weeks:ethnicity 1 69706 91381849 7223.5
## - south:smsa 1 72725 91384868 7223.5
## - gender:union 1 77765 91389908 7223.5
## - union:ethnicity 1 87305 91399448 7223.6
## - experience:married 1 91564 91403707 7223.6
## - weeks:occupation 1 101710 91413853 7223.7
## - experience:union 1 103284 91415427 7223.7
## - weeks:south 1 105397 91417540 7223.7
## - experience:gender 1 127824 91439967 7223.9
## - smsa:gender 1 145532 91457675 7224.0
## - industry:education 1 157406 91469549 7224.1
## - weeks:smsa 1 157727 91469870 7224.1
## - experience:ethnicity 1 163042 91475185 7224.1
## - married:union 1 193490 91505633 7224.3
## - industry:ethnicity 1 204054 91516197 7224.4
## - experience:weeks 1 242817 91554960 7224.6
## - smsa:union 1 250961 91563104 7224.7
## - married:ethnicity 1 262066 91574209 7224.7
## <none> 91312143 7225.0
## - industry:smsa 1 423467 91735609 7225.8
## - experience:occupation 1 435581 91747724 7225.9
## - occupation:union 1 444852 91756995 7225.9
## - gender:ethnicity 1 636551 91948694 7227.2
## - occupation:education 1 652919 91965062 7227.3
## - industry:south 1 776195 92088338 7228.1
## - weeks:gender 1 897093 92209236 7228.9
## - industry:union 1 1036806 92348949 7229.8
## - south:education 1 1239977 92552120 7231.1
## - union:education 1 1397651 92709794 7232.1
## - weeks:married 1 1571293 92883435 7233.2
##
## Step: AIC=7223.04
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:union + weeks:education +
## weeks:ethnicity + occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:education + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - gender:education 1 1745 91315605 7221.1
## - weeks:union 1 2552 91316412 7221.1
## - occupation:south 1 4081 91317941 7221.1
## - weeks:industry 1 7273 91321133 7221.1
## - smsa:married 1 7344 91321204 7221.1
## - south:married 1 12279 91326139 7221.1
## - occupation:gender 1 15768 91329628 7221.1
## - occupation:smsa 1 17485 91331344 7221.2
## - married:gender 1 17811 91331670 7221.2
## - experience:smsa 1 19356 91333216 7221.2
## - south:gender 1 21269 91335128 7221.2
## - smsa:ethnicity 1 21986 91335846 7221.2
## - industry:married 1 24403 91338263 7221.2
## - weeks:education 1 28395 91342254 7221.2
## - occupation:ethnicity 1 46884 91360744 7221.4
## - education:ethnicity 1 55145 91369005 7221.4
## - occupation:married 1 62542 91376402 7221.5
## - industry:gender 1 65614 91379473 7221.5
## - weeks:ethnicity 1 69275 91383135 7221.5
## - south:smsa 1 74376 91388236 7221.5
## - gender:union 1 78727 91392587 7221.6
## - experience:married 1 90246 91404106 7221.6
## - union:ethnicity 1 91101 91404961 7221.6
## - weeks:occupation 1 101362 91415222 7221.7
## - experience:union 1 102218 91416078 7221.7
## - weeks:south 1 104300 91418160 7221.7
## - experience:gender 1 126269 91440129 7221.9
## - smsa:gender 1 145837 91459697 7222.0
## - industry:education 1 156397 91470257 7222.1
## - weeks:smsa 1 157214 91471074 7222.1
## - experience:ethnicity 1 179239 91493099 7222.2
## - married:union 1 199058 91512918 7222.3
## - industry:ethnicity 1 204337 91518197 7222.4
## - experience:weeks 1 241536 91555396 7222.6
## - smsa:union 1 252694 91566554 7222.7
## - married:ethnicity 1 261860 91575719 7222.7
## <none> 91313860 7223.0
## - industry:smsa 1 423650 91737509 7223.8
## - experience:occupation 1 440113 91753972 7223.9
## - occupation:union 1 445680 91759540 7223.9
## - gender:ethnicity 1 638664 91952524 7225.2
## - occupation:education 1 655286 91969146 7225.3
## - industry:south 1 775025 92088885 7226.1
## - weeks:gender 1 895377 92209236 7226.9
## - industry:union 1 1035201 92349061 7227.8
## - south:education 1 1304488 92618348 7229.5
## - union:education 1 1403408 92717268 7230.1
## - weeks:married 1 1571747 92885606 7231.2
##
## Step: AIC=7221.06
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:union + weeks:education +
## weeks:ethnicity + occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:union 1 2668 91318272 7219.1
## - occupation:south 1 4367 91319972 7219.1
## - weeks:industry 1 6825 91322429 7219.1
## - smsa:married 1 7490 91323095 7219.1
## - south:married 1 12573 91328178 7219.1
## - married:gender 1 16938 91332542 7219.2
## - occupation:smsa 1 16950 91332555 7219.2
## - experience:smsa 1 19484 91335088 7219.2
## - smsa:ethnicity 1 21367 91336972 7219.2
## - south:gender 1 21664 91337269 7219.2
## - occupation:gender 1 24385 91339990 7219.2
## - industry:married 1 24408 91340012 7219.2
## - weeks:education 1 30894 91346498 7219.3
## - occupation:ethnicity 1 45308 91360913 7219.4
## - education:ethnicity 1 59815 91375420 7219.4
## - occupation:married 1 62958 91378563 7219.5
## - industry:gender 1 64608 91380213 7219.5
## - weeks:ethnicity 1 69280 91384884 7219.5
## - south:smsa 1 74123 91389728 7219.5
## - gender:union 1 81714 91397318 7219.6
## - experience:married 1 90675 91406280 7219.6
## - union:ethnicity 1 91061 91406666 7219.6
## - weeks:occupation 1 100261 91415865 7219.7
## - experience:union 1 103019 91418623 7219.7
## - weeks:south 1 104522 91420126 7219.7
## - experience:gender 1 125629 91441233 7219.9
## - smsa:gender 1 148130 91463734 7220.0
## - weeks:smsa 1 156892 91472496 7220.1
## - industry:education 1 166052 91481657 7220.1
## - experience:ethnicity 1 181902 91497507 7220.2
## - married:union 1 199765 91515370 7220.4
## - industry:ethnicity 1 202699 91518303 7220.4
## - experience:weeks 1 247836 91563441 7220.7
## - smsa:union 1 250959 91566563 7220.7
## - married:ethnicity 1 272586 91588190 7220.8
## <none> 91315605 7221.1
## - industry:smsa 1 425397 91741002 7221.8
## - experience:occupation 1 440749 91756353 7221.9
## - occupation:union 1 451247 91766851 7222.0
## - occupation:education 1 654644 91970249 7223.3
## - gender:ethnicity 1 668144 91983749 7223.4
## - industry:south 1 773281 92088886 7224.1
## - weeks:gender 1 897886 92213491 7224.9
## - industry:union 1 1034299 92349904 7225.8
## - south:education 1 1307257 92622861 7227.5
## - union:education 1 1402900 92718505 7228.1
## - weeks:married 1 1571155 92886760 7229.2
##
## Step: AIC=7219.07
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:south 1 3893 91322166 7217.1
## - weeks:industry 1 6916 91325189 7217.1
## - smsa:married 1 7675 91325947 7217.1
## - south:married 1 12776 91331048 7217.2
## - married:gender 1 17144 91335417 7217.2
## - experience:smsa 1 17755 91336028 7217.2
## - occupation:smsa 1 18227 91336499 7217.2
## - smsa:ethnicity 1 21099 91339371 7217.2
## - south:gender 1 21461 91339733 7217.2
## - occupation:gender 1 24316 91342588 7217.2
## - industry:married 1 25173 91343445 7217.2
## - weeks:education 1 32162 91350434 7217.3
## - occupation:ethnicity 1 45552 91363825 7217.4
## - education:ethnicity 1 59925 91378197 7217.5
## - industry:gender 1 64148 91382421 7217.5
## - occupation:married 1 64380 91382652 7217.5
## - weeks:ethnicity 1 74558 91392830 7217.6
## - south:smsa 1 75658 91393930 7217.6
## - gender:union 1 79966 91398238 7217.6
## - experience:married 1 90317 91408589 7217.7
## - union:ethnicity 1 90694 91408967 7217.7
## - experience:union 1 100497 91418770 7217.7
## - weeks:south 1 101897 91420169 7217.7
## - weeks:occupation 1 116904 91435176 7217.8
## - experience:gender 1 124392 91442664 7217.9
## - smsa:gender 1 148530 91466802 7218.0
## - industry:education 1 165536 91483808 7218.2
## - experience:ethnicity 1 181221 91499493 7218.3
## - weeks:smsa 1 200247 91518520 7218.4
## - industry:ethnicity 1 200951 91519223 7218.4
## - married:union 1 203103 91521376 7218.4
## - experience:weeks 1 245208 91563481 7218.7
## - smsa:union 1 271016 91589289 7218.8
## - married:ethnicity 1 273184 91591456 7218.9
## <none> 91318272 7219.1
## - industry:smsa 1 422790 91741062 7219.8
## - experience:occupation 1 443420 91761692 7220.0
## - occupation:union 1 448761 91767034 7220.0
## - occupation:education 1 660097 91978370 7221.4
## - gender:ethnicity 1 667219 91985491 7221.4
## - industry:south 1 772424 92090696 7222.1
## - weeks:gender 1 900033 92218305 7222.9
## - industry:union 1 1033007 92351279 7223.8
## - south:education 1 1307956 92626228 7225.5
## - union:education 1 1408689 92726961 7226.2
## - weeks:married 1 1586335 92904608 7227.3
##
## Step: AIC=7217.1
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:married 1 7707 91329872 7215.1
## - weeks:industry 1 7809 91329974 7215.1
## - south:married 1 12580 91334746 7215.2
## - married:gender 1 17096 91339261 7215.2
## - experience:smsa 1 17273 91339439 7215.2
## - occupation:smsa 1 20465 91342631 7215.2
## - south:gender 1 20777 91342942 7215.2
## - smsa:ethnicity 1 22236 91344402 7215.2
## - occupation:gender 1 24075 91346241 7215.3
## - industry:married 1 24991 91347157 7215.3
## - weeks:education 1 33460 91355626 7215.3
## - occupation:ethnicity 1 42773 91364938 7215.4
## - education:ethnicity 1 60640 91382806 7215.5
## - occupation:married 1 63679 91385845 7215.5
## - industry:gender 1 63934 91386100 7215.5
## - south:smsa 1 72845 91395011 7215.6
## - weeks:ethnicity 1 77439 91399605 7215.6
## - gender:union 1 79870 91402036 7215.6
## - experience:married 1 89189 91411354 7215.7
## - union:ethnicity 1 95765 91417931 7215.7
## - experience:union 1 101071 91423237 7215.8
## - weeks:south 1 101856 91424022 7215.8
## - weeks:occupation 1 114285 91436450 7215.8
## - experience:gender 1 123614 91445779 7215.9
## - smsa:gender 1 149012 91471178 7216.1
## - industry:education 1 162028 91484194 7216.2
## - experience:ethnicity 1 180620 91502786 7216.3
## - weeks:smsa 1 200350 91522515 7216.4
## - married:union 1 202554 91524720 7216.4
## - industry:ethnicity 1 204837 91527003 7216.4
## - experience:weeks 1 243664 91565830 7216.7
## - married:ethnicity 1 269662 91591827 7216.9
## - smsa:union 1 282666 91604831 7216.9
## <none> 91322166 7217.1
## - industry:smsa 1 424610 91746776 7217.9
## - experience:occupation 1 442474 91764640 7218.0
## - occupation:union 1 473189 91795355 7218.2
## - occupation:education 1 657721 91979886 7219.4
## - gender:ethnicity 1 664937 91987103 7219.4
## - industry:south 1 810849 92133015 7220.4
## - weeks:gender 1 898963 92221129 7220.9
## - industry:union 1 1041789 92363954 7221.8
## - union:education 1 1413780 92735945 7224.2
## - weeks:married 1 1586977 92909143 7225.3
## - south:education 1 1743189 93065355 7226.3
##
## Step: AIC=7215.15
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:industry 1 6887 91336760 7213.2
## - south:married 1 16580 91346452 7213.3
## - occupation:smsa 1 19084 91348957 7213.3
## - married:gender 1 19348 91349220 7213.3
## - experience:smsa 1 19445 91349317 7213.3
## - occupation:gender 1 20812 91350684 7213.3
## - industry:married 1 21738 91351611 7213.3
## - smsa:ethnicity 1 23180 91353052 7213.3
## - south:gender 1 24786 91354659 7213.3
## - weeks:education 1 34402 91364275 7213.4
## - occupation:ethnicity 1 45208 91375080 7213.4
## - occupation:married 1 57552 91387424 7213.5
## - industry:gender 1 61581 91391454 7213.6
## - education:ethnicity 1 62296 91392168 7213.6
## - south:smsa 1 75320 91405193 7213.6
## - weeks:ethnicity 1 75641 91405513 7213.6
## - gender:union 1 78207 91408080 7213.7
## - experience:married 1 90993 91420865 7213.7
## - union:ethnicity 1 93786 91423658 7213.8
## - weeks:south 1 97734 91427607 7213.8
## - experience:union 1 101107 91430979 7213.8
## - weeks:occupation 1 115334 91445207 7213.9
## - experience:gender 1 125634 91455506 7214.0
## - industry:education 1 160208 91490081 7214.2
## - experience:ethnicity 1 182456 91512329 7214.3
## - weeks:smsa 1 196729 91526602 7214.4
## - married:union 1 199085 91528957 7214.4
## - industry:ethnicity 1 202175 91532047 7214.5
## - experience:weeks 1 240350 91570222 7214.7
## - smsa:union 1 277162 91607034 7215.0
## - married:ethnicity 1 280645 91610518 7215.0
## <none> 91329872 7215.1
## - smsa:gender 1 334544 91664417 7215.3
## - industry:smsa 1 429397 91759269 7215.9
## - experience:occupation 1 441514 91771387 7216.0
## - occupation:union 1 474188 91804060 7216.2
## - occupation:education 1 661204 91991077 7217.4
## - gender:ethnicity 1 675499 92005371 7217.5
## - industry:south 1 835478 92165351 7218.6
## - weeks:gender 1 922055 92251927 7219.1
## - industry:union 1 1034239 92364112 7219.8
## - union:education 1 1420257 92750129 7222.3
## - weeks:married 1 1629901 92959773 7223.7
## - south:education 1 1740631 93070503 7224.4
##
## Step: AIC=7213.19
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:married 1 18218 91354977 7211.3
## - occupation:gender 1 19000 91355759 7211.3
## - experience:smsa 1 19446 91356206 7211.3
## - occupation:smsa 1 19826 91356585 7211.3
## - married:gender 1 20235 91356994 7211.3
## - smsa:ethnicity 1 21306 91358066 7211.3
## - industry:married 1 21721 91358480 7211.3
## - south:gender 1 25794 91362554 7211.4
## - weeks:education 1 43083 91379842 7211.5
## - occupation:ethnicity 1 47833 91384593 7211.5
## - occupation:married 1 58036 91394796 7211.6
## - education:ethnicity 1 61386 91398146 7211.6
## - industry:gender 1 66112 91402871 7211.6
## - south:smsa 1 75172 91411932 7211.7
## - gender:union 1 77329 91414089 7211.7
## - weeks:ethnicity 1 92263 91429022 7211.8
## - experience:married 1 93796 91430555 7211.8
## - union:ethnicity 1 94576 91431335 7211.8
## - experience:union 1 102818 91439578 7211.9
## - weeks:south 1 109013 91445772 7211.9
## - experience:gender 1 130727 91467487 7212.0
## - weeks:occupation 1 141885 91478644 7212.1
## - industry:education 1 160715 91497474 7212.2
## - experience:ethnicity 1 184771 91521530 7212.4
## - married:union 1 197558 91534318 7212.5
## - industry:ethnicity 1 199423 91536182 7212.5
## - weeks:smsa 1 239991 91576750 7212.8
## - experience:weeks 1 255997 91592757 7212.9
## - smsa:union 1 275402 91612162 7213.0
## - married:ethnicity 1 288277 91625037 7213.1
## <none> 91336760 7213.2
## - smsa:gender 1 340671 91677431 7213.4
## - industry:smsa 1 434038 91770797 7214.0
## - experience:occupation 1 441980 91778740 7214.1
## - occupation:union 1 468187 91804946 7214.2
## - occupation:education 1 655228 91991988 7215.4
## - gender:ethnicity 1 688291 92025051 7215.7
## - industry:south 1 828621 92165381 7216.6
## - industry:union 1 1030914 92367673 7217.9
## - weeks:gender 1 1037751 92374511 7217.9
## - union:education 1 1425423 92762183 7220.4
## - weeks:married 1 1681076 93017835 7222.0
## - south:education 1 1737991 93074750 7222.4
##
## Step: AIC=7211.31
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:gender +
## south:education + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:gender 1 8466 91363443 7209.4
## - married:gender 1 14175 91369152 7209.4
## - occupation:smsa 1 17451 91372428 7209.4
## - occupation:gender 1 17785 91372762 7209.4
## - experience:smsa 1 21326 91376304 7209.5
## - industry:married 1 23414 91378392 7209.5
## - smsa:ethnicity 1 23464 91378441 7209.5
## - weeks:education 1 40262 91395239 7209.6
## - occupation:ethnicity 1 44127 91399104 7209.6
## - occupation:married 1 53796 91408773 7209.7
## - education:ethnicity 1 63419 91418397 7209.7
## - gender:union 1 65883 91420860 7209.7
## - industry:gender 1 67062 91422040 7209.7
## - south:smsa 1 68430 91423407 7209.8
## - union:ethnicity 1 100691 91455668 7210.0
## - weeks:ethnicity 1 104000 91458977 7210.0
## - experience:married 1 107638 91462615 7210.0
## - experience:union 1 111593 91466570 7210.0
## - weeks:south 1 119708 91474685 7210.1
## - experience:gender 1 144513 91499490 7210.3
## - weeks:occupation 1 151510 91506487 7210.3
## - industry:education 1 152457 91507434 7210.3
## - married:union 1 179368 91534346 7210.5
## - experience:ethnicity 1 186211 91541188 7210.5
## - industry:ethnicity 1 195886 91550864 7210.6
## - weeks:smsa 1 247851 91602828 7210.9
## - smsa:union 1 262745 91617722 7211.0
## - experience:weeks 1 265322 91620300 7211.0
## - married:ethnicity 1 270866 91625844 7211.1
## <none> 91354977 7211.3
## - smsa:gender 1 336089 91691066 7211.5
## - industry:smsa 1 422427 91777404 7212.1
## - experience:occupation 1 433262 91788239 7212.1
## - occupation:union 1 466110 91821087 7212.3
## - occupation:education 1 664273 92019250 7213.6
## - gender:ethnicity 1 671907 92026885 7213.7
## - industry:south 1 836437 92191414 7214.7
## - weeks:gender 1 1032352 92387329 7216.0
## - industry:union 1 1037249 92392226 7216.0
## - union:education 1 1421036 92776014 7218.5
## - weeks:married 1 1691530 93046507 7220.2
## - south:education 1 1733563 93088540 7220.5
##
## Step: AIC=7209.37
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:gender 1 11110 91374554 7207.4
## - occupation:smsa 1 17997 91381441 7207.5
## - experience:smsa 1 20351 91383795 7207.5
## - occupation:gender 1 21238 91384681 7207.5
## - industry:married 1 23339 91386782 7207.5
## - smsa:ethnicity 1 23903 91387346 7207.5
## - weeks:education 1 39669 91403112 7207.6
## - occupation:ethnicity 1 44510 91407954 7207.7
## - occupation:married 1 55041 91418484 7207.7
## - gender:union 1 58337 91421780 7207.7
## - education:ethnicity 1 64554 91427998 7207.8
## - industry:gender 1 65162 91428605 7207.8
## - south:smsa 1 76986 91440430 7207.9
## - union:ethnicity 1 101496 91464939 7208.0
## - weeks:ethnicity 1 107353 91470797 7208.1
## - experience:union 1 109257 91472700 7208.1
## - experience:married 1 109660 91473103 7208.1
## - weeks:south 1 115876 91479319 7208.1
## - experience:gender 1 140512 91503955 7208.3
## - weeks:occupation 1 149829 91513273 7208.3
## - industry:education 1 158477 91521920 7208.4
## - married:union 1 180649 91544092 7208.5
## - experience:ethnicity 1 188171 91551615 7208.6
## - industry:ethnicity 1 199309 91562753 7208.7
## - weeks:smsa 1 249759 91613202 7209.0
## - married:ethnicity 1 266563 91630007 7209.1
## - experience:weeks 1 267124 91630567 7209.1
## - smsa:union 1 272171 91635614 7209.1
## <none> 91363443 7209.4
## - smsa:gender 1 327972 91691415 7209.5
## - industry:smsa 1 421192 91784636 7210.1
## - experience:occupation 1 440106 91803549 7210.2
## - occupation:union 1 468761 91832204 7210.4
## - gender:ethnicity 1 668073 92031516 7211.7
## - occupation:education 1 671651 92035095 7211.7
## - industry:south 1 831462 92194905 7212.8
## - industry:union 1 1029584 92393027 7214.0
## - weeks:gender 1 1049011 92412455 7214.2
## - union:education 1 1414951 92778395 7216.5
## - weeks:married 1 1687582 93051025 7218.3
## - south:education 1 1725340 93088783 7218.5
##
## Step: AIC=7207.44
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:union +
## married:ethnicity + gender:union + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:gender 1 17190 91391744 7205.6
## - occupation:smsa 1 17689 91392243 7205.6
## - industry:married 1 19620 91394174 7205.6
## - experience:smsa 1 20354 91394908 7205.6
## - smsa:ethnicity 1 23061 91397614 7205.6
## - weeks:education 1 40111 91414665 7205.7
## - occupation:ethnicity 1 43199 91417753 7205.7
## - occupation:married 1 48815 91423369 7205.8
## - industry:gender 1 59503 91434057 7205.8
## - gender:union 1 59823 91434377 7205.8
## - education:ethnicity 1 65265 91439819 7205.9
## - south:smsa 1 76361 91450915 7205.9
## - experience:married 1 100486 91475040 7206.1
## - union:ethnicity 1 104255 91478809 7206.1
## - weeks:ethnicity 1 105962 91480516 7206.1
## - experience:union 1 108205 91482759 7206.1
## - weeks:south 1 115128 91489682 7206.2
## - experience:gender 1 129407 91503961 7206.3
## - weeks:occupation 1 151336 91525890 7206.4
## - industry:education 1 155555 91530109 7206.5
## - married:union 1 179892 91554446 7206.6
## - experience:ethnicity 1 199356 91573910 7206.7
## - industry:ethnicity 1 202324 91576878 7206.8
## - weeks:smsa 1 249640 91624194 7207.1
## - experience:weeks 1 263359 91637913 7207.2
## - married:ethnicity 1 267315 91641869 7207.2
## - smsa:union 1 271766 91646320 7207.2
## <none> 91374554 7207.4
## - smsa:gender 1 326210 91700764 7207.6
## - industry:smsa 1 424659 91799212 7208.2
## - experience:occupation 1 445963 91820517 7208.3
## - occupation:union 1 473104 91847658 7208.5
## - gender:ethnicity 1 663953 92038506 7209.7
## - occupation:education 1 682836 92057390 7209.9
## - industry:south 1 838793 92213347 7210.9
## - industry:union 1 1036826 92411380 7212.2
## - weeks:gender 1 1095032 92469586 7212.5
## - union:education 1 1411066 92785620 7214.6
## - south:education 1 1714230 93088783 7216.5
## - weeks:married 1 1719115 93093669 7216.5
##
## Step: AIC=7205.55
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:smsa 1 17000 91408745 7203.7
## - smsa:ethnicity 1 18606 91410350 7203.7
## - experience:smsa 1 18609 91410353 7203.7
## - industry:married 1 19694 91411438 7203.7
## - occupation:married 1 31806 91423550 7203.8
## - weeks:education 1 40415 91432159 7203.8
## - occupation:ethnicity 1 45014 91436758 7203.8
## - gender:union 1 49392 91441136 7203.9
## - education:ethnicity 1 64206 91455951 7204.0
## - south:smsa 1 75165 91466909 7204.0
## - industry:gender 1 79296 91471040 7204.1
## - experience:married 1 98478 91490222 7204.2
## - union:ethnicity 1 108195 91499939 7204.3
## - weeks:south 1 115300 91507044 7204.3
## - experience:union 1 116056 91507800 7204.3
## - weeks:ethnicity 1 116394 91508138 7204.3
## - experience:gender 1 125855 91517600 7204.4
## - industry:education 1 158734 91550478 7204.6
## - weeks:occupation 1 159956 91551700 7204.6
## - married:union 1 162706 91554450 7204.6
## - industry:ethnicity 1 196886 91588631 7204.8
## - experience:ethnicity 1 197896 91589640 7204.8
## - married:ethnicity 1 259522 91651267 7205.2
## - weeks:smsa 1 262559 91654303 7205.3
## - experience:weeks 1 262864 91654608 7205.3
## - smsa:union 1 269943 91661687 7205.3
## <none> 91391744 7205.6
## - smsa:gender 1 395113 91786858 7206.1
## - industry:smsa 1 428208 91819952 7206.3
## - experience:occupation 1 440361 91832105 7206.4
## - occupation:union 1 461644 91853388 7206.5
## - occupation:education 1 688566 92080311 7208.0
## - gender:ethnicity 1 712771 92104515 7208.2
## - industry:south 1 831919 92223663 7208.9
## - industry:union 1 1069249 92460994 7210.5
## - weeks:gender 1 1183895 92575639 7211.2
## - union:education 1 1453311 92845055 7212.9
## - south:education 1 1702427 93094171 7214.5
## - weeks:married 1 1841478 93233222 7215.4
##
## Step: AIC=7203.66
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:ethnicity 1 17922 91426666 7201.8
## - industry:married 1 21311 91430055 7201.8
## - experience:smsa 1 21327 91430071 7201.8
## - occupation:married 1 26826 91435571 7201.8
## - weeks:education 1 40725 91449469 7201.9
## - occupation:ethnicity 1 47176 91455920 7202.0
## - gender:union 1 48037 91456782 7202.0
## - education:ethnicity 1 65247 91473991 7202.1
## - south:smsa 1 70116 91478861 7202.1
## - industry:gender 1 81317 91490061 7202.2
## - experience:married 1 95534 91504278 7202.3
## - union:ethnicity 1 109629 91518374 7202.4
## - weeks:south 1 114801 91523545 7202.4
## - weeks:ethnicity 1 116168 91524913 7202.4
## - experience:gender 1 126024 91534769 7202.5
## - experience:union 1 129849 91538593 7202.5
## - industry:education 1 147294 91556038 7202.6
## - married:union 1 156034 91564779 7202.7
## - weeks:occupation 1 156638 91565383 7202.7
## - industry:ethnicity 1 197375 91606120 7202.9
## - experience:ethnicity 1 204894 91613638 7203.0
## - weeks:smsa 1 254546 91663291 7203.3
## - smsa:union 1 258736 91667480 7203.3
## - experience:weeks 1 260946 91669690 7203.4
## - married:ethnicity 1 271129 91679874 7203.4
## <none> 91408745 7203.7
## - smsa:gender 1 391182 91799926 7204.2
## - industry:smsa 1 411218 91819962 7204.3
## - experience:occupation 1 424247 91832991 7204.4
## - occupation:union 1 501696 91910441 7204.9
## - occupation:education 1 671830 92080574 7206.0
## - gender:ethnicity 1 751230 92159975 7206.5
## - industry:south 1 833714 92242458 7207.1
## - industry:union 1 1127234 92535978 7209.0
## - weeks:gender 1 1177229 92585974 7209.3
## - union:education 1 1471572 92880316 7211.2
## - south:education 1 1691432 93100177 7212.6
## - weeks:married 1 1841985 93250730 7213.5
##
## Step: AIC=7201.78
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:married 1 21330 91447997 7199.9
## - experience:smsa 1 23495 91450161 7199.9
## - occupation:married 1 24115 91450782 7199.9
## - weeks:education 1 40137 91466804 7200.0
## - gender:union 1 43186 91469852 7200.1
## - occupation:ethnicity 1 57533 91484199 7200.2
## - south:smsa 1 81667 91508333 7200.3
## - industry:gender 1 82997 91509663 7200.3
## - education:ethnicity 1 90616 91517282 7200.4
## - experience:married 1 93930 91520596 7200.4
## - union:ethnicity 1 96936 91523602 7200.4
## - weeks:ethnicity 1 114677 91541343 7200.5
## - weeks:south 1 115965 91542632 7200.5
## - experience:gender 1 121506 91548173 7200.6
## - experience:union 1 126869 91553535 7200.6
## - married:union 1 151534 91578200 7200.8
## - industry:education 1 157328 91583994 7200.8
## - weeks:occupation 1 162502 91589168 7200.8
## - industry:ethnicity 1 190598 91617264 7201.0
## - experience:ethnicity 1 222831 91649497 7201.2
## - weeks:smsa 1 252389 91679056 7201.4
## - experience:weeks 1 260498 91687164 7201.5
## - smsa:union 1 263873 91690539 7201.5
## - married:ethnicity 1 276656 91703322 7201.6
## <none> 91426666 7201.8
## - smsa:gender 1 382927 91809593 7202.3
## - industry:smsa 1 416465 91843131 7202.5
## - experience:occupation 1 418286 91844952 7202.5
## - occupation:union 1 493523 91920189 7203.0
## - occupation:education 1 671017 92097683 7204.1
## - gender:ethnicity 1 744522 92171188 7204.6
## - industry:south 1 849931 92276598 7205.3
## - industry:union 1 1113062 92539729 7207.0
## - weeks:gender 1 1201990 92628656 7207.6
## - union:education 1 1468439 92895105 7209.3
## - south:education 1 1705058 93131725 7210.8
## - weeks:married 1 1878944 93305610 7211.9
##
## Step: AIC=7199.92
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:smsa 1 24165 91472162 7198.1
## - occupation:married 1 25409 91473406 7198.1
## - gender:union 1 36054 91484050 7198.2
## - weeks:education 1 46726 91494723 7198.2
## - occupation:ethnicity 1 58581 91506577 7198.3
## - industry:gender 1 62378 91510374 7198.3
## - experience:married 1 83440 91531436 7198.5
## - south:smsa 1 89891 91537888 7198.5
## - education:ethnicity 1 93833 91541830 7198.5
## - weeks:south 1 107662 91555658 7198.6
## - union:ethnicity 1 108123 91556119 7198.6
## - weeks:ethnicity 1 112078 91560074 7198.6
## - experience:gender 1 114597 91562594 7198.7
## - experience:union 1 128856 91576852 7198.8
## - married:union 1 134849 91582846 7198.8
## - industry:education 1 156138 91604135 7198.9
## - weeks:occupation 1 157658 91605654 7198.9
## - industry:ethnicity 1 181886 91629882 7199.1
## - experience:ethnicity 1 228589 91676585 7199.4
## - weeks:smsa 1 246640 91694637 7199.5
## - experience:weeks 1 252860 91700856 7199.6
## - smsa:union 1 255258 91703254 7199.6
## - married:ethnicity 1 267567 91715564 7199.7
## <none> 91447997 7199.9
## - smsa:gender 1 385844 91833841 7200.4
## - experience:occupation 1 412439 91860436 7200.6
## - industry:smsa 1 438254 91886251 7200.8
## - occupation:union 1 488114 91936111 7201.1
## - occupation:education 1 658867 92106864 7202.2
## - gender:ethnicity 1 735763 92183759 7202.7
## - industry:south 1 855705 92303701 7203.5
## - industry:union 1 1099695 92547692 7205.0
## - weeks:gender 1 1216197 92664194 7205.8
## - union:education 1 1465201 92913197 7207.4
## - south:education 1 1690266 93138262 7208.8
## - weeks:married 1 1911054 93359051 7210.2
##
## Step: AIC=7198.08
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:married 1 27214 91499376 7196.3
## - gender:union 1 36173 91508335 7196.3
## - weeks:education 1 47415 91519577 7196.4
## - occupation:ethnicity 1 58633 91530795 7196.5
## - industry:gender 1 60377 91532539 7196.5
## - experience:married 1 89620 91561782 7196.7
## - south:smsa 1 92373 91564535 7196.7
## - education:ethnicity 1 95426 91567588 7196.7
## - union:ethnicity 1 104033 91576195 7196.8
## - experience:gender 1 107012 91579174 7196.8
## - weeks:south 1 107629 91579791 7196.8
## - weeks:ethnicity 1 113805 91585967 7196.8
## - experience:union 1 118126 91590287 7196.8
## - married:union 1 134116 91606278 7196.9
## - industry:education 1 150156 91622317 7197.1
## - weeks:occupation 1 153588 91625750 7197.1
## - industry:ethnicity 1 179847 91652008 7197.2
## - experience:ethnicity 1 218699 91690860 7197.5
## - experience:weeks 1 241028 91713189 7197.6
## - weeks:smsa 1 260665 91732826 7197.8
## - married:ethnicity 1 263929 91736090 7197.8
## - smsa:union 1 266964 91739126 7197.8
## <none> 91472162 7198.1
## - industry:smsa 1 423052 91895214 7198.8
## - smsa:gender 1 435613 91907775 7198.9
## - experience:occupation 1 462201 91934363 7199.1
## - occupation:union 1 483054 91955215 7199.2
## - occupation:education 1 655183 92127344 7200.3
## - gender:ethnicity 1 728809 92200971 7200.8
## - industry:south 1 866006 92338168 7201.7
## - industry:union 1 1126718 92598879 7203.4
## - weeks:gender 1 1230469 92702630 7204.0
## - union:education 1 1461939 92934101 7205.5
## - south:education 1 1668715 93140876 7206.8
## - weeks:married 1 1915526 93387688 7208.4
##
## Step: AIC=7196.25
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - gender:union 1 24521 91523897 7194.4
## - industry:gender 1 42492 91541868 7194.5
## - occupation:ethnicity 1 45483 91544859 7194.5
## - weeks:education 1 46152 91545528 7194.6
## - experience:married 1 81562 91580938 7194.8
## - south:smsa 1 91839 91591215 7194.8
## - education:ethnicity 1 95964 91595340 7194.9
## - experience:gender 1 106367 91605743 7194.9
## - married:union 1 108704 91608080 7195.0
## - weeks:south 1 111022 91610398 7195.0
## - union:ethnicity 1 116632 91616007 7195.0
## - weeks:ethnicity 1 121637 91621013 7195.0
## - experience:union 1 121697 91621073 7195.0
## - industry:education 1 144126 91643502 7195.2
## - weeks:occupation 1 150637 91650013 7195.2
## - industry:ethnicity 1 194053 91693429 7195.5
## - experience:ethnicity 1 219638 91719014 7195.7
## - experience:weeks 1 251198 91750574 7195.9
## - married:ethnicity 1 255197 91754573 7195.9
## - smsa:union 1 261403 91760778 7195.9
## - weeks:smsa 1 262530 91761906 7196.0
## <none> 91499376 7196.3
## - smsa:gender 1 408406 91907782 7196.9
## - industry:smsa 1 418526 91917902 7197.0
## - experience:occupation 1 436101 91935477 7197.1
## - occupation:union 1 521804 92021180 7197.6
## - occupation:education 1 641790 92141165 7198.4
## - gender:ethnicity 1 702233 92201609 7198.8
## - industry:south 1 878094 92377470 7199.9
## - industry:union 1 1142034 92641410 7201.6
## - weeks:gender 1 1251927 92751303 7202.3
## - union:education 1 1448332 92947708 7203.6
## - south:education 1 1669678 93169054 7205.0
## - weeks:married 1 2039461 93538837 7207.4
##
## Step: AIC=7194.41
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:gender 1 36721 91560617 7192.7
## - weeks:education 1 41723 91565619 7192.7
## - occupation:ethnicity 1 42898 91566794 7192.7
## - experience:married 1 83163 91607059 7193.0
## - south:smsa 1 84850 91608747 7193.0
## - married:union 1 88831 91612728 7193.0
## - education:ethnicity 1 100274 91624171 7193.1
## - experience:gender 1 108851 91632748 7193.1
## - union:ethnicity 1 116030 91639926 7193.2
## - weeks:south 1 119829 91643726 7193.2
## - weeks:ethnicity 1 123414 91647311 7193.2
## - experience:union 1 132488 91656385 7193.3
## - industry:education 1 134493 91658390 7193.3
## - weeks:occupation 1 157170 91681067 7193.4
## - industry:ethnicity 1 182444 91706341 7193.6
## - experience:ethnicity 1 233535 91757432 7193.9
## - experience:weeks 1 250494 91774391 7194.0
## - married:ethnicity 1 251663 91775559 7194.0
## - smsa:union 1 263067 91786963 7194.1
## - weeks:smsa 1 268040 91791937 7194.2
## <none> 91523897 7194.4
## - smsa:gender 1 422425 91946322 7195.2
## - industry:smsa 1 422686 91946583 7195.2
## - experience:occupation 1 428356 91952253 7195.2
## - occupation:union 1 528811 92052707 7195.8
## - occupation:education 1 630567 92154463 7196.5
## - gender:ethnicity 1 697487 92221384 7196.9
## - industry:south 1 887674 92411570 7198.2
## - industry:union 1 1146934 92670831 7199.8
## - weeks:gender 1 1281983 92805880 7200.7
## - union:education 1 1491022 93014919 7202.0
## - south:education 1 1671819 93195716 7203.2
## - weeks:married 1 2026020 93549916 7205.4
##
## Step: AIC=7192.65
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:education 1 43059 91603677 7190.9
## - occupation:ethnicity 1 45270 91605887 7190.9
## - education:ethnicity 1 82150 91642767 7191.2
## - experience:married 1 82402 91643020 7191.2
## - south:smsa 1 86945 91647563 7191.2
## - experience:gender 1 91359 91651976 7191.2
## - married:union 1 100244 91660862 7191.3
## - union:ethnicity 1 117665 91678282 7191.4
## - experience:union 1 121657 91682274 7191.4
## - weeks:ethnicity 1 122983 91683600 7191.4
## - industry:education 1 126738 91687355 7191.5
## - weeks:south 1 127391 91688009 7191.5
## - weeks:occupation 1 160971 91721588 7191.7
## - experience:weeks 1 239281 91799899 7192.2
## - married:ethnicity 1 242734 91803351 7192.2
## - experience:ethnicity 1 242879 91803496 7192.2
## - industry:ethnicity 1 253952 91814569 7192.3
## - weeks:smsa 1 268091 91828708 7192.4
## - smsa:union 1 276719 91837336 7192.4
## <none> 91560617 7192.7
## - industry:smsa 1 406681 91967298 7193.3
## - smsa:gender 1 430952 91991570 7193.4
## - experience:occupation 1 438906 91999523 7193.5
## - occupation:union 1 525486 92086103 7194.1
## - occupation:education 1 639533 92200150 7194.8
## - gender:ethnicity 1 708776 92269393 7195.2
## - industry:south 1 895404 92456021 7196.4
## - industry:union 1 1188027 92748644 7198.3
## - weeks:gender 1 1350715 92911332 7199.4
## - union:education 1 1464888 93025505 7200.1
## - south:education 1 1685709 93246326 7201.5
## - weeks:married 1 2063089 93623706 7203.9
##
## Step: AIC=7190.93
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:ethnicity 1 42650 91646326 7189.2
## - experience:married 1 79377 91683054 7189.4
## - experience:gender 1 80236 91683912 7189.5
## - education:ethnicity 1 82696 91686373 7189.5
## - south:smsa 1 94496 91698172 7189.5
## - weeks:ethnicity 1 100938 91704615 7189.6
## - married:union 1 107272 91710949 7189.6
## - union:ethnicity 1 109104 91712780 7189.6
## - industry:education 1 120659 91724336 7189.7
## - experience:union 1 123666 91727343 7189.7
## - weeks:south 1 161510 91765187 7190.0
## - married:ethnicity 1 229487 91833164 7190.4
## - experience:ethnicity 1 240756 91844433 7190.5
## - industry:ethnicity 1 245801 91849478 7190.5
## - weeks:smsa 1 249703 91853379 7190.5
## - experience:weeks 1 267405 91871082 7190.7
## - smsa:union 1 271958 91875635 7190.7
## <none> 91603677 7190.9
## - industry:smsa 1 409391 92013068 7191.6
## - experience:occupation 1 437316 92040993 7191.8
## - smsa:gender 1 444810 92048486 7191.8
## - occupation:union 1 507879 92111556 7192.2
## - weeks:occupation 1 527801 92131478 7192.3
## - occupation:education 1 616286 92219963 7192.9
## - gender:ethnicity 1 680823 92284500 7193.3
## - industry:south 1 893102 92496779 7194.7
## - industry:union 1 1192834 92796511 7196.6
## - weeks:gender 1 1327694 92931371 7197.5
## - union:education 1 1606155 93209831 7199.3
## - south:education 1 1746342 93350019 7200.2
## - weeks:married 1 2058363 93662040 7202.2
##
## Step: AIC=7189.21
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:ethnicity + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:gender 1 72569 91718895 7187.7
## - experience:married 1 75522 91721848 7187.7
## - weeks:ethnicity 1 99007 91745334 7187.8
## - south:smsa 1 100726 91747053 7187.9
## - married:union 1 109839 91756165 7187.9
## - experience:union 1 111212 91757538 7187.9
## - industry:education 1 119017 91765344 7188.0
## - union:ethnicity 1 158709 91805036 7188.2
## - weeks:south 1 165021 91811347 7188.3
## - education:ethnicity 1 197883 91844209 7188.5
## - weeks:smsa 1 245643 91891969 7188.8
## - industry:ethnicity 1 253128 91899455 7188.8
## - experience:weeks 1 259416 91905742 7188.9
## - smsa:union 1 262957 91909283 7188.9
## - experience:ethnicity 1 263720 91910046 7188.9
## - married:ethnicity 1 277158 91923484 7189.0
## <none> 91646326 7189.2
## - industry:smsa 1 400475 92046801 7189.8
## - smsa:gender 1 434402 92080728 7190.0
## - experience:occupation 1 462841 92109168 7190.2
## - weeks:occupation 1 546883 92193209 7190.7
## - occupation:union 1 568327 92214654 7190.9
## - occupation:education 1 669547 92315874 7191.5
## - gender:ethnicity 1 907631 92553957 7193.1
## - industry:south 1 915075 92561401 7193.1
## - industry:union 1 1211283 92857609 7195.0
## - weeks:gender 1 1356513 93002839 7195.9
## - union:education 1 1565748 93212074 7197.3
## - south:education 1 1759145 93405471 7198.5
## - weeks:married 1 2074217 93720543 7200.5
##
## Step: AIC=7187.68
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:union +
## experience:ethnicity + weeks:occupation + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:ethnicity + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:married 1 16454 91735349 7185.8
## - weeks:ethnicity 1 92318 91811213 7186.3
## - south:smsa 1 97940 91816835 7186.3
## - experience:union 1 99672 91818567 7186.3
## - married:union 1 109224 91828120 7186.4
## - industry:education 1 115167 91834063 7186.4
## - union:ethnicity 1 151502 91870397 7186.7
## - weeks:south 1 172388 91891283 7186.8
## - education:ethnicity 1 200577 91919472 7187.0
## - experience:weeks 1 240431 91959326 7187.2
## - industry:ethnicity 1 249329 91968224 7187.3
## - weeks:smsa 1 259857 91978752 7187.4
## - smsa:union 1 266700 91985595 7187.4
## <none> 91718895 7187.7
## - married:ethnicity 1 364918 92083813 7188.0
## - experience:ethnicity 1 381676 92100571 7188.1
## - industry:smsa 1 400833 92119728 7188.3
## - experience:occupation 1 454555 92173450 7188.6
## - smsa:gender 1 492970 92211866 7188.9
## - weeks:occupation 1 546974 92265870 7189.2
## - occupation:union 1 598093 92316988 7189.5
## - occupation:education 1 679627 92398523 7190.1
## - industry:south 1 921381 92640276 7191.6
## - gender:ethnicity 1 959436 92678331 7191.9
## - industry:union 1 1251005 92969901 7193.7
## - weeks:gender 1 1443342 93162237 7195.0
## - union:education 1 1557988 93276884 7195.7
## - south:education 1 1725950 93444846 7196.8
## - weeks:married 1 2076553 93795448 7199.0
##
## Step: AIC=7185.78
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:ethnicity + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:ethnicity 1 95528 91830877 7184.4
## - south:smsa 1 96442 91831791 7184.4
## - experience:union 1 106702 91842051 7184.5
## - industry:education 1 114288 91849637 7184.5
## - married:union 1 116096 91851445 7184.5
## - union:ethnicity 1 150001 91885350 7184.8
## - weeks:south 1 175557 91910906 7184.9
## - education:ethnicity 1 198063 91933412 7185.1
## - experience:weeks 1 249558 91984907 7185.4
## - industry:ethnicity 1 254155 91989504 7185.4
## - weeks:smsa 1 263816 91999165 7185.5
## - smsa:union 1 266458 92001807 7185.5
## <none> 91735349 7185.8
## - married:ethnicity 1 363824 92099173 7186.1
## - experience:ethnicity 1 365607 92100956 7186.2
## - industry:smsa 1 398609 92133958 7186.4
## - experience:occupation 1 442613 92177962 7186.6
## - smsa:gender 1 478939 92214288 7186.9
## - weeks:occupation 1 541037 92276386 7187.3
## - occupation:union 1 591791 92327140 7187.6
## - occupation:education 1 671217 92406566 7188.1
## - industry:south 1 914177 92649526 7189.7
## - gender:ethnicity 1 1006255 92741604 7190.3
## - industry:union 1 1249393 92984742 7191.8
## - weeks:gender 1 1432607 93167956 7193.0
## - union:education 1 1569011 93304360 7193.9
## - south:education 1 1765487 93500835 7195.1
## - weeks:married 1 2107284 93842633 7197.3
##
## Step: AIC=7184.4
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:smsa 1 103010 91933887 7183.1
## - experience:union 1 115246 91946123 7183.2
## - industry:education 1 116429 91947305 7183.2
## - weeks:south 1 142527 91973404 7183.3
## - married:union 1 147018 91977894 7183.4
## - education:ethnicity 1 156891 91987768 7183.4
## - union:ethnicity 1 161875 91992752 7183.5
## - weeks:smsa 1 213391 92044267 7183.8
## - smsa:union 1 251891 92082768 7184.0
## - experience:weeks 1 285255 92116131 7184.2
## - industry:ethnicity 1 293587 92124463 7184.3
## <none> 91830877 7184.4
## - industry:smsa 1 402100 92232976 7185.0
## - experience:ethnicity 1 434621 92265498 7185.2
## - experience:occupation 1 444932 92275809 7185.3
## - weeks:occupation 1 480674 92311550 7185.5
## - smsa:gender 1 483644 92314520 7185.5
## - married:ethnicity 1 525658 92356535 7185.8
## - occupation:union 1 585617 92416494 7186.2
## - occupation:education 1 701610 92532486 7186.9
## - industry:south 1 901076 92731952 7188.2
## - gender:ethnicity 1 1165336 92996213 7189.9
## - industry:union 1 1272939 93103816 7190.6
## - weeks:gender 1 1400635 93231511 7191.4
## - union:education 1 1589922 93420799 7192.6
## - south:education 1 1710976 93541853 7193.4
## - weeks:married 1 2028010 93858886 7195.4
##
## Step: AIC=7183.07
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:education 1 106680 92040567 7181.8
## - experience:union 1 111457 92045344 7181.8
## - married:union 1 138956 92072843 7182.0
## - education:ethnicity 1 159058 92092945 7182.1
## - weeks:south 1 164273 92098160 7182.1
## - union:ethnicity 1 177437 92111324 7182.2
## - weeks:smsa 1 209244 92143131 7182.4
## - smsa:union 1 223837 92157724 7182.5
## - experience:weeks 1 276077 92209964 7182.9
## - industry:ethnicity 1 276553 92210440 7182.9
## <none> 91933887 7183.1
## - industry:smsa 1 367198 92301085 7183.4
## - experience:occupation 1 445661 92379548 7183.9
## - experience:ethnicity 1 458102 92391989 7184.0
## - smsa:gender 1 485151 92419038 7184.2
## - weeks:occupation 1 496360 92430247 7184.3
## - occupation:union 1 534379 92468266 7184.5
## - married:ethnicity 1 560383 92494270 7184.7
## - occupation:education 1 701448 92635335 7185.6
## - industry:south 1 894743 92828630 7186.8
## - gender:ethnicity 1 1165663 93099550 7188.6
## - industry:union 1 1315146 93249033 7189.5
## - weeks:gender 1 1379536 93313423 7189.9
## - union:education 1 1677202 93611089 7191.8
## - weeks:married 1 2008907 93942794 7193.9
## - south:education 1 2072779 94006666 7194.3
##
## Step: AIC=7181.76
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + smsa:union + married:union +
## married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:union 1 103702 92144269 7180.4
## - married:union 1 136786 92177353 7180.6
## - education:ethnicity 1 175203 92215770 7180.9
## - weeks:south 1 181940 92222507 7180.9
## - union:ethnicity 1 199964 92240531 7181.1
## - weeks:smsa 1 227771 92268338 7181.2
## - smsa:union 1 239666 92280233 7181.3
## - industry:ethnicity 1 242738 92283305 7181.3
## - experience:weeks 1 269710 92310277 7181.5
## - industry:smsa 1 308384 92348951 7181.8
## <none> 92040567 7181.8
## - experience:ethnicity 1 467579 92508146 7182.8
## - smsa:gender 1 495308 92535875 7183.0
## - experience:occupation 1 502898 92543465 7183.0
## - married:ethnicity 1 551338 92591905 7183.3
## - weeks:occupation 1 570022 92610589 7183.4
## - occupation:union 1 571383 92611951 7183.4
## - occupation:education 1 604540 92645107 7183.7
## - industry:south 1 1036703 93077270 7186.4
## - gender:ethnicity 1 1193877 93234445 7187.4
## - weeks:gender 1 1434697 93475264 7189.0
## - union:education 1 1666677 93707244 7190.4
## - industry:union 1 1717323 93757891 7190.8
## - south:education 1 2124837 94165404 7193.3
## - weeks:married 1 2160152 94200719 7193.6
##
## Step: AIC=7180.43
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:union 1 165016 92309285 7179.5
## - weeks:south 1 170581 92314850 7179.5
## - education:ethnicity 1 170731 92315000 7179.5
## - union:ethnicity 1 203159 92347428 7179.7
## - experience:weeks 1 224369 92368639 7179.9
## - industry:ethnicity 1 229510 92373779 7179.9
## - weeks:smsa 1 250423 92394692 7180.0
## - industry:smsa 1 290321 92434590 7180.3
## <none> 92144269 7180.4
## - smsa:union 1 321657 92465927 7180.5
## - experience:ethnicity 1 462747 92607016 7181.4
## - smsa:gender 1 475189 92619458 7181.5
## - married:ethnicity 1 534776 92679045 7181.9
## - weeks:occupation 1 579448 92723717 7182.2
## - occupation:union 1 674025 92818294 7182.8
## - occupation:education 1 677830 92822099 7182.8
## - experience:occupation 1 759413 92903682 7183.3
## - industry:south 1 1021806 93166075 7185.0
## - gender:ethnicity 1 1164384 93308653 7185.9
## - weeks:gender 1 1418850 93563119 7187.5
## - union:education 1 1585444 93729713 7188.6
## - industry:union 1 1729388 93873657 7189.5
## - south:education 1 2084083 94228352 7191.7
## - weeks:married 1 2163802 94308071 7192.2
##
## Step: AIC=7179.5
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - education:ethnicity 1 130462 92439747 7178.3
## - weeks:south 1 158071 92467356 7178.5
## - experience:weeks 1 217312 92526597 7178.9
## - industry:ethnicity 1 237370 92546655 7179.0
## - weeks:smsa 1 245747 92555032 7179.1
## - smsa:union 1 288921 92598206 7179.4
## - union:ethnicity 1 295944 92605229 7179.4
## <none> 92309285 7179.5
## - industry:smsa 1 330146 92639431 7179.6
## - smsa:gender 1 446533 92755818 7180.4
## - experience:ethnicity 1 451973 92761258 7180.4
## - married:ethnicity 1 475100 92784385 7180.6
## - weeks:occupation 1 599334 92908619 7181.3
## - occupation:union 1 652610 92961895 7181.7
## - occupation:education 1 736687 93045972 7182.2
## - experience:occupation 1 794246 93103531 7182.6
## - industry:south 1 1027948 93337233 7184.1
## - gender:ethnicity 1 1140084 93449370 7184.8
## - weeks:gender 1 1343963 93653248 7186.1
## - union:education 1 1571499 93880784 7187.5
## - industry:union 1 1805383 94114668 7189.0
## - south:education 1 2057016 94366301 7190.6
## - weeks:married 1 2200786 94510071 7191.5
##
## Step: AIC=7178.34
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:south 1 180354 92620102 7177.5
## - experience:weeks 1 235430 92675177 7177.8
## - weeks:smsa 1 245873 92685620 7177.9
## - smsa:union 1 284711 92724459 7178.2
## - union:ethnicity 1 299872 92739619 7178.3
## - industry:smsa 1 308882 92748629 7178.3
## <none> 92439747 7178.3
## - industry:ethnicity 1 360928 92800675 7178.7
## - married:ethnicity 1 413502 92853249 7179.0
## - smsa:gender 1 421583 92861331 7179.0
## - experience:ethnicity 1 436254 92876002 7179.1
## - weeks:occupation 1 628800 93068547 7180.4
## - occupation:union 1 641294 93081041 7180.4
## - experience:occupation 1 808729 93248476 7181.5
## - occupation:education 1 848339 93288087 7181.8
## - industry:south 1 1062655 93502402 7183.1
## - gender:ethnicity 1 1137670 93577417 7183.6
## - weeks:gender 1 1392707 93832454 7185.2
## - union:education 1 1541359 93981106 7186.2
## - industry:union 1 1869290 94309037 7188.2
## - south:education 1 2111105 94550853 7189.8
## - weeks:married 1 2333196 94772943 7191.2
##
## Step: AIC=7177.5
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:smsa + weeks:married + weeks:gender + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:ethnicity + south:education + smsa:gender + smsa:union +
## married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:smsa 1 172792 92792893 7176.6
## - experience:weeks 1 228245 92848346 7177.0
## - industry:smsa 1 311667 92931768 7177.5
## <none> 92620102 7177.5
## - union:ethnicity 1 314428 92934530 7177.5
## - smsa:union 1 320885 92940986 7177.6
## - industry:ethnicity 1 355606 92975708 7177.8
## - married:ethnicity 1 399021 93019123 7178.1
## - experience:ethnicity 1 435902 93056004 7178.3
## - smsa:gender 1 467222 93087323 7178.5
## - weeks:occupation 1 573987 93194089 7179.2
## - occupation:union 1 698568 93318670 7180.0
## - experience:occupation 1 821734 93441835 7180.8
## - occupation:education 1 845635 93465737 7180.9
## - industry:south 1 1029459 93649561 7182.1
## - gender:ethnicity 1 1176305 93796407 7183.0
## - weeks:gender 1 1377577 93997679 7184.3
## - union:education 1 1621124 94241226 7185.8
## - industry:union 1 1849255 94469357 7187.3
## - south:education 1 2169719 94789821 7189.3
## - weeks:married 1 2372053 94992154 7190.5
##
## Step: AIC=7176.6
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + smsa:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:union 1 258082 93050975 7176.3
## - experience:weeks 1 288786 93081679 7176.5
## - union:ethnicity 1 296047 93088940 7176.5
## <none> 92792893 7176.6
## - industry:smsa 1 318661 93111554 7176.6
## - industry:ethnicity 1 359249 93152143 7176.9
## - married:ethnicity 1 398745 93191638 7177.2
## - smsa:gender 1 424866 93217760 7177.3
## - experience:ethnicity 1 442696 93235589 7177.4
## - weeks:occupation 1 487098 93279991 7177.7
## - occupation:union 1 718100 93510993 7179.2
## - occupation:education 1 871687 93664580 7180.2
## - experience:occupation 1 879035 93671929 7180.2
## - industry:south 1 1063711 93856604 7181.4
## - gender:ethnicity 1 1179928 93972821 7182.1
## - weeks:gender 1 1269071 94061964 7182.7
## - union:education 1 1530461 94323354 7184.3
## - industry:union 1 1781020 94573914 7185.9
## - south:education 1 2084738 94877631 7187.8
## - weeks:married 1 2332192 95125086 7189.4
##
## Step: AIC=7176.26
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - union:ethnicity 1 233127 93284103 7175.7
## <none> 93050975 7176.3
## - experience:weeks 1 347031 93398006 7176.5
## - industry:ethnicity 1 360592 93411567 7176.6
## - smsa:gender 1 374647 93425622 7176.6
## - married:ethnicity 1 413932 93464907 7176.9
## - industry:smsa 1 434838 93485813 7177.0
## - experience:ethnicity 1 436180 93487155 7177.0
## - weeks:occupation 1 482233 93533209 7177.3
## - occupation:union 1 790925 93841900 7179.3
## - experience:occupation 1 861950 93912926 7179.7
## - occupation:education 1 888278 93939253 7179.9
## - industry:south 1 1137537 94188512 7181.5
## - gender:ethnicity 1 1203368 94254343 7181.9
## - weeks:gender 1 1292681 94343656 7182.5
## - union:education 1 1642035 94693010 7184.7
## - industry:union 1 1781824 94832799 7185.5
## - south:education 1 2149198 95200173 7187.8
## - weeks:married 1 2330415 95381390 7189.0
##
## Step: AIC=7175.75
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + married:ethnicity + gender:ethnicity +
## union:education
##
## Df Sum of Sq RSS AIC
## <none> 93284103 7175.7
## - experience:ethnicity 1 342374 93626477 7175.9
## - experience:weeks 1 357898 93642000 7176.0
## - married:ethnicity 1 382852 93666955 7176.2
## - smsa:gender 1 389928 93674031 7176.2
## - industry:smsa 1 431444 93715546 7176.5
## - weeks:occupation 1 454255 93738358 7176.6
## - industry:ethnicity 1 584573 93868675 7177.5
## - occupation:union 1 770225 94054327 7178.6
## - experience:occupation 1 793944 94078046 7178.8
## - occupation:education 1 794605 94078708 7178.8
## - gender:ethnicity 1 1021861 94305963 7180.2
## - industry:south 1 1150084 94434187 7181.0
## - weeks:gender 1 1244968 94529070 7181.6
## - union:education 1 1764736 95048838 7184.9
## - industry:union 1 1883835 95167938 7185.6
## - south:education 1 2103290 95387392 7187.0
## - weeks:married 1 2214309 95498411 7187.7##
## Call:
## lm(formula = YM ~ experience + weeks + occupation + industry +
## south + smsa + married + gender + union + education + ethnicity +
## experience:weeks + experience:occupation + experience:ethnicity +
## weeks:occupation + weeks:married + weeks:gender + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:ethnicity + south:education + smsa:gender + married:ethnicity +
## gender:ethnicity + union:education, data = mydata2)
##
## Coefficients:
## (Intercept) experience weeks
## -973.6307 26.3765 10.2584
## occupation1 industry1 south1
## -1017.3840 251.1260 662.0379
## smsa1 married1 gender1
## 35.8154 -1887.1285 1936.9768
## union1 education ethnicity1
## 991.7270 78.5235 165.6754
## experience:weeks experience:occupation1 experience:ethnicity1
## -0.5124 7.2153 -9.0179
## weeks:occupation1 weeks:married1 weeks:gender1
## 12.7170 41.4631 -37.1696
## occupation1:union1 occupation1:education industry1:south1
## -215.2853 37.5504 -226.2304
## industry1:smsa1 industry1:union1 industry1:ethnicity1
## -122.2004 -262.7235 274.1885
## south1:education smsa1:gender1 married1:ethnicity1
## -50.7068 207.6874 327.3527
## gender1:ethnicity1 union1:education
## -570.5685 -60.4342#########################################################################
##### Model selection: stepwise algorithms
##### Example 6: first-order models and models with interactions, Forward stepwise
#########################################################################
model0 = lm(YM~1, data=mydata2)
modelF = lm(YM~.^2, data=mydata2)
step(model0, scope=list(lower=model0, upper=modelF), direction="both")## Start: AIC=7468.15
## YM ~ 1
##
## Df Sum of Sq RSS AIC
## + education 1 32538301 134997861 7341.7
## + occupation 1 22992077 144544085 7382.3
## + gender 1 12829545 154706617 7422.7
## + married 1 10932833 156603329 7430.0
## + smsa 1 8127541 159408621 7440.6
## + ethnicity 1 5344585 162191577 7450.9
## + south 1 4329602 163206560 7454.6
## + experience 1 1362281 166173881 7465.3
## + union 1 995691 166540471 7466.6
## <none> 167536162 7468.1
## + weeks 1 321828 167214334 7469.0
## + industry 1 121663 167414499 7469.7
##
## Step: AIC=7341.66
## YM ~ education
##
## Df Sum of Sq RSS AIC
## + gender 1 12779707 122218154 7284.5
## + married 1 10254719 124743143 7296.7
## + experience 1 6226451 128771410 7315.6
## + smsa 1 3415108 131582754 7328.4
## + industry 1 3308035 131689826 7328.9
## + ethnicity 1 2694785 132303077 7331.7
## + occupation 1 2192036 132805826 7333.9
## + south 1 2135767 132862094 7334.2
## <none> 134997861 7341.7
## + union 1 330373 134667489 7342.2
## + weeks 1 320629 134677232 7342.2
## - education 1 32538301 167536162 7468.1
##
## Step: AIC=7284.49
## YM ~ education + gender
##
## Df Sum of Sq RSS AIC
## + smsa 1 5133833 117084321 7261.0
## + experience 1 4667646 117550508 7263.3
## + occupation 1 3076803 119141352 7271.3
## + south 1 1530433 120687721 7279.0
## + industry 1 1421780 120796374 7279.5
## + married 1 885628 121332526 7282.2
## + ethnicity 1 830636 121387519 7282.4
## <none> 122218154 7284.5
## + weeks 1 64671 122153483 7286.2
## + gender:education 1 41500 122176655 7286.3
## + union 1 10215 122207940 7286.4
## - gender 1 12779707 134997861 7341.7
## - education 1 32488463 154706617 7422.7
##
## Step: AIC=7260.96
## YM ~ education + gender + smsa
##
## Df Sum of Sq RSS AIC
## + experience 1 3681824 113402497 7243.9
## + occupation 1 2438824 114645498 7250.4
## + ethnicity 1 1494428 115589893 7255.3
## + industry 1 1289920 115794402 7256.4
## + married 1 1059185 116025137 7257.5
## + south 1 881624 116202697 7258.5
## + smsa:education 1 494481 116589841 7260.4
## <none> 117084321 7261.0
## + smsa:gender 1 90405 116993916 7262.5
## + weeks 1 32761 117051560 7262.8
## + gender:education 1 28736 117055586 7262.8
## + union 1 5150 117079172 7262.9
## - smsa 1 5133833 122218154 7284.5
## - gender 1 14498432 131582754 7328.4
## - education 1 26944998 144029319 7382.2
##
## Step: AIC=7243.95
## YM ~ education + gender + smsa + experience
##
## Df Sum of Sq RSS AIC
## + occupation 1 2112437 111290061 7234.8
## + ethnicity 1 1599078 111803420 7237.5
## + industry 1 897795 112504702 7241.2
## + south 1 666655 112735843 7242.4
## + smsa:education 1 598877 112803621 7242.8
## + married 1 580521 112821976 7242.9
## <none> 113402497 7243.9
## + experience:gender 1 335405 113067093 7244.2
## + smsa:gender 1 177714 113224783 7245.0
## + weeks 1 175973 113226525 7245.0
## + gender:education 1 53580 113348918 7245.7
## + experience:education 1 18554 113383944 7245.8
## + union 1 2300 113400198 7245.9
## + experience:smsa 1 948 113401550 7245.9
## - experience 1 3681824 117084321 7261.0
## - smsa 1 4148011 117550508 7263.3
## - gender 1 12786981 126189478 7305.5
## - education 1 30244311 143646808 7382.6
##
## Step: AIC=7234.76
## YM ~ education + gender + smsa + experience + occupation
##
## Df Sum of Sq RSS AIC
## + ethnicity 1 1490793 109799268 7228.7
## + occupation:education 1 1385398 109904663 7229.3
## + industry 1 1277208 110012853 7229.9
## + south 1 898041 110392020 7231.9
## + married 1 592449 110697611 7233.6
## + smsa:education 1 424265 110865796 7234.5
## <none> 111290061 7234.8
## + experience:occupation 1 346486 110943575 7234.9
## + experience:gender 1 197085 111092976 7235.7
## + smsa:gender 1 175541 111114520 7235.8
## + weeks 1 150302 111139759 7236.0
## + union 1 149432 111140629 7236.0
## + occupation:gender 1 78695 111211366 7236.3
## + experience:education 1 77734 111212327 7236.3
## + gender:education 1 60964 111229097 7236.4
## + occupation:smsa 1 29381 111260680 7236.6
## + experience:smsa 1 9924 111280137 7236.7
## - occupation 1 2112437 113402497 7243.9
## - experience 1 3355437 114645498 7250.4
## - smsa 1 3658161 114948222 7252.0
## - education 1 11406668 122696729 7290.8
## - gender 1 13469904 124759965 7300.7
##
## Step: AIC=7228.73
## YM ~ education + gender + smsa + experience + occupation + ethnicity
##
## Df Sum of Sq RSS AIC
## + occupation:education 1 1353525 108445743 7223.4
## + industry 1 1141696 108657572 7224.5
## + occupation:ethnicity 1 1066339 108732929 7224.9
## + south 1 646695 109152573 7227.2
## + education:ethnicity 1 493449 109305819 7228.1
## + married 1 413169 109386099 7228.5
## + experience:occupation 1 383390 109415878 7228.7
## <none> 109799268 7228.7
## + occupation:gender 1 362778 109436490 7228.8
## + smsa:education 1 362161 109437106 7228.8
## + gender:ethnicity 1 253895 109545373 7229.4
## + gender:education 1 218448 109580820 7229.5
## + union 1 157390 109641878 7229.9
## + experience:education 1 137568 109661700 7230.0
## + weeks 1 111460 109687807 7230.1
## + experience:ethnicity 1 75548 109723720 7230.3
## + smsa:ethnicity 1 74879 109724389 7230.3
## + smsa:gender 1 70979 109728288 7230.3
## + experience:gender 1 51982 109747285 7230.5
## + experience:smsa 1 20688 109778580 7230.6
## + occupation:smsa 1 13851 109785417 7230.7
## - ethnicity 1 1490793 111290061 7234.8
## - occupation 1 2004152 111803420 7237.5
## - experience 1 3459487 113258754 7245.2
## - smsa 1 4229138 114028405 7249.2
## - education 1 10612905 120412173 7281.6
## - gender 1 11246775 121046043 7284.8
##
## Step: AIC=7223.35
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## education:occupation
##
## Df Sum of Sq RSS AIC
## + industry 1 1067950 107377793 7219.5
## + occupation:ethnicity 1 832174 107613568 7220.8
## + experience:occupation 1 789177 107656565 7221.0
## + south 1 721189 107724554 7221.4
## + married 1 496447 107949296 7222.6
## + experience:education 1 383380 108062363 7223.2
## <none> 108445743 7223.4
## + education:ethnicity 1 311668 108134075 7223.6
## + occupation:gender 1 306264 108139479 7223.7
## + gender:ethnicity 1 281068 108164675 7223.8
## + gender:education 1 263202 108182541 7223.9
## + union 1 213582 108232161 7224.2
## + weeks 1 199242 108246501 7224.3
## + smsa:education 1 114026 108331716 7224.7
## + experience:ethnicity 1 88428 108357314 7224.9
## + smsa:gender 1 42042 108403701 7225.1
## + smsa:ethnicity 1 37358 108408385 7225.1
## + experience:smsa 1 36806 108408937 7225.2
## + experience:gender 1 36382 108409361 7225.2
## + occupation:smsa 1 331 108445412 7225.4
## - education:occupation 1 1353525 109799268 7228.7
## - ethnicity 1 1458920 109904663 7229.3
## - experience 1 3059586 111505329 7237.9
## - smsa 1 4365186 112810929 7244.8
## - gender 1 10987853 119433596 7278.8
##
## Step: AIC=7219.47
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation
##
## Df Sum of Sq RSS AIC
## + industry:education 1 1124480 106253313 7215.2
## + occupation:industry 1 909910 106467882 7216.4
## + occupation:ethnicity 1 810821 106566971 7217.0
## + experience:occupation 1 684802 106692991 7217.7
## + south 1 557481 106820312 7218.4
## + married 1 445524 106932269 7219.0
## <none> 107377793 7219.5
## + gender:education 1 307168 107070625 7219.8
## + education:ethnicity 1 303694 107074099 7219.8
## + experience:education 1 302250 107075543 7219.8
## + industry:smsa 1 280595 107097198 7219.9
## + gender:ethnicity 1 263658 107114135 7220.0
## + occupation:gender 1 258262 107119531 7220.0
## + weeks 1 215449 107162344 7220.3
## + union 1 163053 107214740 7220.6
## + industry:ethnicity 1 90010 107287783 7221.0
## + experience:ethnicity 1 80121 107297671 7221.0
## + smsa:education 1 73622 107304170 7221.1
## + smsa:ethnicity 1 48461 107329331 7221.2
## + smsa:gender 1 48333 107329460 7221.2
## + experience:gender 1 46302 107331491 7221.2
## + industry:gender 1 39298 107338495 7221.2
## + experience:industry 1 22060 107355733 7221.3
## + experience:smsa 1 11669 107366124 7221.4
## + occupation:smsa 1 864 107376929 7221.5
## - industry 1 1067950 108445743 7223.4
## - education:occupation 1 1279779 108657572 7224.5
## - ethnicity 1 1329925 108707718 7224.8
## - experience 1 2655061 110032854 7232.0
## - smsa 1 4227663 111605456 7240.4
## - gender 1 9744817 117122610 7269.2
##
## Step: AIC=7215.2
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry
##
## Df Sum of Sq RSS AIC
## + occupation:ethnicity 1 676151 105577162 7213.4
## + industry:smsa 1 560151 105693162 7214.1
## + experience:occupation 1 535565 105717748 7214.2
## + married 1 510970 105742344 7214.3
## + south 1 485529 105767784 7214.5
## <none> 106253313 7215.2
## + union 1 335354 105917959 7215.3
## + education:ethnicity 1 200010 106053304 7216.1
## + industry:ethnicity 1 198607 106054706 7216.1
## + gender:ethnicity 1 189630 106063683 7216.1
## + experience:education 1 184881 106068433 7216.2
## + occupation:gender 1 154977 106098336 7216.3
## + occupation:industry 1 146477 106106836 7216.4
## + weeks 1 142935 106110378 7216.4
## + gender:education 1 120361 106132952 7216.5
## + industry:gender 1 57349 106195964 7216.9
## + smsa:education 1 53934 106199379 7216.9
## + experience:ethnicity 1 52127 106201186 7216.9
## + experience:gender 1 44874 106208439 7216.9
## + smsa:gender 1 33897 106219417 7217.0
## + smsa:ethnicity 1 14163 106239150 7217.1
## + experience:smsa 1 13161 106240153 7217.1
## + occupation:smsa 1 1613 106251700 7217.2
## + experience:industry 1 1005 106252308 7217.2
## - education:industry 1 1124480 107377793 7219.5
## - ethnicity 1 1399028 107652342 7221.0
## - education:occupation 1 1965534 108218847 7224.1
## - experience 1 2412783 108666096 7226.6
## - smsa 1 3997700 110251013 7235.2
## - gender 1 9983524 116236837 7266.6
##
## Step: AIC=7213.4
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry + occupation:ethnicity
##
## Df Sum of Sq RSS AIC
## + industry:smsa 1 644500 104932662 7211.8
## + experience:occupation 1 552534 105024628 7212.3
## + south 1 464656 105112506 7212.8
## + married 1 440262 105136900 7212.9
## + union 1 371162 105206000 7213.3
## <none> 105577162 7213.4
## + experience:education 1 221586 105355576 7214.2
## + weeks 1 138933 105438229 7214.6
## + occupation:industry 1 118387 105458775 7214.7
## + gender:education 1 94754 105482408 7214.9
## + experience:gender 1 86202 105490960 7214.9
## + smsa:education 1 79477 105497685 7215.0
## + experience:ethnicity 1 76083 105501079 7215.0
## + industry:ethnicity 1 74014 105503148 7215.0
## + smsa:gender 1 71543 105505619 7215.0
## + occupation:gender 1 61415 105515747 7215.1
## + gender:ethnicity 1 45833 105531329 7215.1
## + industry:gender 1 36856 105540306 7215.2
## - occupation:ethnicity 1 676151 106253313 7215.2
## + experience:smsa 1 16310 105560853 7215.3
## + occupation:smsa 1 6967 105570195 7215.4
## + education:ethnicity 1 989 105576173 7215.4
## + smsa:ethnicity 1 483 105576679 7215.4
## + experience:industry 1 385 105576777 7215.4
## - education:industry 1 989809 106566971 7217.0
## - education:occupation 1 1657483 107234645 7220.7
## - experience 1 2391313 107968475 7224.7
## - smsa 1 3993196 109570358 7233.5
## - gender 1 10578920 116156082 7268.2
##
## Step: AIC=7211.76
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry + occupation:ethnicity +
## smsa:industry
##
## Df Sum of Sq RSS AIC
## + experience:occupation 1 530344 104402318 7210.7
## + south 1 484279 104448383 7211.0
## + married 1 450919 104481743 7211.2
## <none> 104932662 7211.8
## + union 1 327870 104604792 7211.9
## + experience:education 1 181278 104751384 7212.7
## + smsa:gender 1 172324 104760338 7212.8
## + industry:ethnicity 1 156178 104776484 7212.9
## + occupation:industry 1 153909 104778754 7212.9
## + weeks 1 119779 104812883 7213.1
## + experience:gender 1 112328 104820334 7213.1
## + experience:ethnicity 1 91884 104840779 7213.2
## + gender:education 1 86676 104845986 7213.3
## + occupation:gender 1 72525 104860137 7213.3
## + industry:gender 1 66698 104865964 7213.4
## - smsa:industry 1 644500 105577162 7213.4
## + experience:smsa 1 49222 104883440 7213.5
## + gender:ethnicity 1 25558 104907104 7213.6
## + occupation:smsa 1 12806 104919857 7213.7
## + experience:industry 1 8722 104923940 7213.7
## + education:ethnicity 1 5070 104927592 7213.7
## + smsa:education 1 3164 104929499 7213.7
## + smsa:ethnicity 1 47 104932615 7213.8
## - occupation:ethnicity 1 760500 105693162 7214.1
## - education:industry 1 1272866 106205528 7216.9
## - education:occupation 1 1728451 106661113 7219.5
## - experience 1 2625216 107557878 7224.5
## - gender 1 10761341 115694004 7267.8
##
## Step: AIC=7210.74
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + education:occupation + education:industry + occupation:ethnicity +
## smsa:industry + experience:occupation
##
## Df Sum of Sq RSS AIC
## + south 1 471832 103930487 7210.0
## + married 1 453018 103949300 7210.2
## <none> 104402318 7210.7
## + union 1 303878 104098440 7211.0
## + industry:ethnicity 1 197575 104204743 7211.6
## - experience:occupation 1 530344 104932662 7211.8
## + smsa:gender 1 161451 104240867 7211.8
## + weeks 1 108363 104293955 7212.1
## + occupation:industry 1 105173 104297145 7212.1
## + experience:gender 1 101740 104300578 7212.2
## - smsa:industry 1 622309 105024628 7212.3
## + industry:gender 1 73553 104328765 7212.3
## + gender:education 1 64519 104337800 7212.4
## + experience:ethnicity 1 61764 104340554 7212.4
## + experience:industry 1 52310 104350008 7212.4
## + occupation:gender 1 43082 104359236 7212.5
## + gender:ethnicity 1 32020 104370298 7212.6
## + occupation:smsa 1 28581 104373737 7212.6
## + experience:smsa 1 14214 104388105 7212.7
## + education:ethnicity 1 6402 104395916 7212.7
## + experience:education 1 898 104401421 7212.7
## + smsa:ethnicity 1 100 104402218 7212.7
## + smsa:education 1 24 104402294 7212.7
## - occupation:ethnicity 1 776544 105178862 7213.2
## - education:industry 1 1109154 105511472 7215.0
## - education:occupation 1 2022769 106425087 7220.2
## - gender 1 10509063 114911382 7265.8
##
## Step: AIC=7210.05
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation
##
## Df Sum of Sq RSS AIC
## + south:education 1 519525 103410961 7209.1
## + married 1 447670 103482816 7209.5
## <none> 103930487 7210.0
## + industry:south 1 229392 103701095 7210.7
## - south 1 471832 104402318 7210.7
## + industry:ethnicity 1 198305 103732181 7210.9
## + union 1 192120 103738367 7210.9
## - experience:occupation 1 517896 104448383 7211.0
## + south:smsa 1 161737 103768749 7211.1
## + smsa:gender 1 154361 103776126 7211.2
## + experience:south 1 124131 103806355 7211.3
## + experience:gender 1 107397 103823089 7211.4
## + occupation:industry 1 99264 103831222 7211.5
## + weeks 1 98545 103831941 7211.5
## + industry:gender 1 73494 103856993 7211.6
## - smsa:industry 1 641596 104572083 7211.7
## + experience:ethnicity 1 57734 103872753 7211.7
## + gender:education 1 49484 103881003 7211.8
## + gender:ethnicity 1 40744 103889743 7211.8
## + occupation:gender 1 33842 103896645 7211.9
## + south:gender 1 33772 103896715 7211.9
## + south:ethnicity 1 30036 103900451 7211.9
## + experience:industry 1 27283 103903204 7211.9
## + occupation:south 1 24829 103905658 7211.9
## + smsa:education 1 13291 103917196 7212.0
## + occupation:smsa 1 11076 103919410 7212.0
## + education:ethnicity 1 8894 103921593 7212.0
## + experience:smsa 1 6650 103923837 7212.0
## + smsa:ethnicity 1 3178 103927308 7212.0
## + experience:education 1 582 103929905 7212.0
## - occupation:ethnicity 1 755205 104685691 7212.4
## - education:industry 1 1049232 104979719 7214.0
## - education:occupation 1 2070776 106001263 7219.8
## - gender 1 10372262 114302748 7264.7
##
## Step: AIC=7209.07
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation +
## education:south
##
## Df Sum of Sq RSS AIC
## + industry:south 1 551781 102859180 7207.9
## + married 1 417873 102993088 7208.7
## <none> 103410961 7209.1
## - experience:occupation 1 471903 103882864 7209.8
## + union 1 223565 103187397 7209.8
## + industry:ethnicity 1 186588 103224374 7210.0
## - education:south 1 519525 103930487 7210.0
## + smsa:gender 1 164018 103246944 7210.1
## + experience:gender 1 157590 103253371 7210.2
## - smsa:industry 1 545499 103956460 7210.2
## + weeks 1 138772 103272190 7210.3
## + occupation:south 1 124031 103286930 7210.4
## + south:ethnicity 1 64933 103346029 7210.7
## + occupation:industry 1 63574 103347387 7210.7
## + industry:gender 1 46721 103364240 7210.8
## + experience:ethnicity 1 45195 103365766 7210.8
## + south:smsa 1 45100 103365862 7210.8
## + experience:industry 1 42364 103368598 7210.8
## + south:gender 1 40530 103370431 7210.8
## + gender:ethnicity 1 40192 103370769 7210.8
## + gender:education 1 40048 103370913 7210.8
## + experience:south 1 34167 103376794 7210.9
## + occupation:gender 1 33210 103377751 7210.9
## - occupation:ethnicity 1 665249 104076211 7210.9
## + occupation:smsa 1 25832 103385130 7210.9
## + experience:smsa 1 17478 103393483 7211.0
## + experience:education 1 5433 103405528 7211.0
## + smsa:education 1 4209 103406752 7211.0
## + education:ethnicity 1 3080 103407881 7211.1
## + smsa:ethnicity 1 41 103410920 7211.1
## - education:industry 1 990371 104401332 7212.7
## - education:occupation 1 1775656 105186618 7217.2
## - gender 1 10152459 113563420 7262.8
##
## Step: AIC=7207.88
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation +
## education:south + industry:south
##
## Df Sum of Sq RSS AIC
## + married 1 421610 102437569 7207.4
## <none> 102859180 7207.9
## + industry:ethnicity 1 288163 102571017 7208.2
## + union 1 204920 102654260 7208.7
## + smsa:gender 1 170512 102688668 7208.9
## + experience:gender 1 149982 102709198 7209.0
## - industry:south 1 551781 103410961 7209.1
## + weeks 1 126871 102732309 7209.2
## - experience:occupation 1 584101 103443280 7209.3
## + south:ethnicity 1 96035 102763145 7209.3
## + occupation:industry 1 72664 102786516 7209.5
## + industry:gender 1 56754 102802426 7209.6
## + south:smsa 1 56696 102802484 7209.6
## + occupation:south 1 56655 102802525 7209.6
## + gender:education 1 55718 102803462 7209.6
## - occupation:ethnicity 1 638168 103497348 7209.6
## + experience:ethnicity 1 47454 102811726 7209.6
## + occupation:gender 1 43619 102815561 7209.6
## + occupation:smsa 1 33120 102826060 7209.7
## + experience:south 1 28202 102830978 7209.7
## + gender:ethnicity 1 26742 102832438 7209.7
## + experience:industry 1 23980 102835200 7209.7
## - smsa:industry 1 669860 103529040 7209.7
## + experience:smsa 1 13352 102845828 7209.8
## + experience:education 1 7933 102851246 7209.8
## + education:ethnicity 1 5026 102854154 7209.9
## + south:gender 1 5016 102854163 7209.9
## + smsa:education 1 2611 102856568 7209.9
## + smsa:ethnicity 1 1097 102858083 7209.9
## - education:industry 1 744167 103603347 7210.2
## - education:south 1 841915 103701095 7210.7
## - education:occupation 1 1761213 104620393 7216.0
## - gender 1 10200657 113059837 7262.1
##
## Step: AIC=7207.44
## YM ~ education + gender + smsa + experience + occupation + ethnicity +
## industry + south + married + education:occupation + education:industry +
## occupation:ethnicity + smsa:industry + experience:occupation +
## education:south + industry:south
##
## Df Sum of Sq RSS AIC
## <none> 102437569 7207.4
## - married 1 421610 102859180 7207.9
## + industry:ethnicity 1 260702 102176867 7207.9
## + smsa:gender 1 179014 102258555 7208.4
## + union 1 176884 102260686 7208.4
## + experience:gender 1 141401 102296169 7208.6
## - industry:south 1 555519 102993088 7208.7
## - occupation:ethnicity 1 574375 103011945 7208.8
## + weeks 1 109027 102328542 7208.8
## - experience:occupation 1 588099 103025668 7208.8
## + smsa:married 1 96432 102341138 7208.9
## + occupation:industry 1 86460 102351110 7208.9
## + experience:ethnicity 1 78662 102358907 7209.0
## + industry:married 1 76039 102361530 7209.0
## + south:ethnicity 1 68629 102368941 7209.0
## + industry:gender 1 66334 102371236 7209.1
## + occupation:south 1 60065 102377504 7209.1
## + south:smsa 1 59869 102377701 7209.1
## + gender:education 1 51981 102385589 7209.1
## + occupation:gender 1 43170 102394399 7209.2
## + occupation:smsa 1 39144 102398425 7209.2
## + experience:industry 1 34537 102403032 7209.2
## + married:ethnicity 1 31341 102406228 7209.3
## + experience:south 1 30287 102407283 7209.3
## + married:education 1 25224 102412345 7209.3
## + occupation:married 1 19975 102417594 7209.3
## + gender:ethnicity 1 19351 102418218 7209.3
## + education:ethnicity 1 13010 102424559 7209.4
## + experience:married 1 12854 102424716 7209.4
## - smsa:industry 1 683347 103120916 7209.4
## + experience:smsa 1 7030 102430539 7209.4
## + south:married 1 6446 102431124 7209.4
## + smsa:education 1 4111 102433459 7209.4
## + experience:education 1 3936 102433633 7209.4
## + south:gender 1 1698 102435871 7209.4
## + married:gender 1 1 102437568 7209.4
## + smsa:ethnicity 1 0 102437569 7209.4
## - education:industry 1 798788 103236357 7210.1
## - education:south 1 806953 103244523 7210.1
## - education:occupation 1 1882412 104319981 7216.3
## - gender 1 3594555 106032125 7226.0##
## Call:
## lm(formula = YM ~ education + gender + smsa + experience + occupation +
## ethnicity + industry + south + married + education:occupation +
## education:industry + occupation:ethnicity + smsa:industry +
## experience:occupation + education:south + industry:south,
## data = mydata2)
##
## Coefficients:
## (Intercept) education gender1
## 4.433 28.979 358.467
## smsa1 experience occupation1
## 249.499 2.762 -692.981
## ethnicity1 industry1 south1
## -87.488 -171.323 372.508
## married1 education:occupation1 education:industry1
## 97.683 57.684 30.091
## occupation1:ethnicity1 smsa1:industry1 experience:occupation1
## -258.882 -150.198 6.140
## education:south1 industry1:south1
## -30.238 -155.169step(modelF, scope=list(lower=model0, upper=modelF), direction="both")## Start: AIC=7239
## YM ~ (experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity)^2
##
## Df Sum of Sq RSS AIC
## - experience:education 1 2 91306975 7237.0
## - married:education 1 86 91307059 7237.0
## - occupation:industry 1 618 91307591 7237.0
## - south:ethnicity 1 935 91307908 7237.0
## - south:union 1 1058 91308031 7237.0
## - experience:industry 1 1253 91308226 7237.0
## - gender:education 1 1302 91308275 7237.0
## - smsa:education 1 1486 91308459 7237.0
## - experience:south 1 2308 91309281 7237.0
## - weeks:union 1 3410 91310383 7237.0
## - occupation:south 1 3613 91310586 7237.0
## - smsa:married 1 7733 91314706 7237.1
## - weeks:industry 1 8024 91314997 7237.1
## - occupation:smsa 1 8372 91315345 7237.1
## - occupation:gender 1 9729 91316702 7237.1
## - south:married 1 10650 91317623 7237.1
## - experience:smsa 1 12485 91319458 7237.1
## - married:gender 1 18994 91325967 7237.1
## - smsa:ethnicity 1 20640 91327613 7237.1
## - south:gender 1 21308 91328281 7237.1
## - industry:married 1 24114 91331087 7237.2
## - weeks:education 1 24415 91331388 7237.2
## - occupation:married 1 27245 91334218 7237.2
## - education:ethnicity 1 44180 91351154 7237.3
## - occupation:ethnicity 1 44502 91351475 7237.3
## - industry:gender 1 63323 91370296 7237.4
## - weeks:ethnicity 1 64682 91371655 7237.4
## - south:smsa 1 64812 91371785 7237.4
## - union:ethnicity 1 76462 91383435 7237.5
## - gender:union 1 79645 91386618 7237.5
## - experience:married 1 87133 91394106 7237.6
## - industry:education 1 95204 91402177 7237.6
## - experience:union 1 100023 91406996 7237.7
## - weeks:occupation 1 102123 91409096 7237.7
## - weeks:south 1 106528 91413501 7237.7
## - experience:gender 1 126347 91433320 7237.8
## - smsa:gender 1 144747 91451720 7237.9
## - experience:ethnicity 1 150793 91457767 7238.0
## - weeks:smsa 1 156782 91463756 7238.0
## - married:union 1 190094 91497067 7238.2
## - industry:ethnicity 1 202542 91509515 7238.3
## - married:ethnicity 1 207185 91514158 7238.3
## - experience:weeks 1 241038 91548011 7238.6
## - smsa:union 1 247436 91554409 7238.6
## - experience:occupation 1 279817 91586790 7238.8
## <none> 91306973 7239.0
## - industry:smsa 1 395448 91702421 7239.6
## - occupation:union 1 411142 91718115 7239.7
## - gender:ethnicity 1 562906 91869879 7240.7
## - occupation:education 1 620025 91926998 7241.0
## - industry:south 1 752501 92059474 7241.9
## - weeks:gender 1 838327 92145300 7242.4
## - industry:union 1 900259 92207232 7242.8
## - south:education 1 1168423 92475396 7244.6
## - union:education 1 1301618 92608591 7245.4
## - weeks:married 1 1505379 92812352 7246.7
##
## Step: AIC=7237
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:industry + occupation:south + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:union + south:education + south:ethnicity +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:education +
## married:ethnicity + gender:union + gender:education + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:education 1 84 91307059 7235.0
## - occupation:industry 1 620 91307596 7235.0
## - south:ethnicity 1 933 91307908 7235.0
## - south:union 1 1057 91308032 7235.0
## - experience:industry 1 1257 91308232 7235.0
## - gender:education 1 1303 91308279 7235.0
## - smsa:education 1 1484 91308459 7235.0
## - experience:south 1 2390 91309365 7235.0
## - weeks:union 1 3421 91310396 7235.0
## - occupation:south 1 3633 91310609 7235.0
## - smsa:married 1 7732 91314707 7235.1
## - weeks:industry 1 8022 91314997 7235.1
## - occupation:smsa 1 8374 91315349 7235.1
## - occupation:gender 1 9727 91316703 7235.1
## - south:married 1 10653 91317628 7235.1
## - experience:smsa 1 12807 91319783 7235.1
## - married:gender 1 19081 91326057 7235.1
## - smsa:ethnicity 1 20653 91327629 7235.1
## - south:gender 1 21384 91328360 7235.1
## - industry:married 1 24263 91331238 7235.2
## - weeks:education 1 24543 91331519 7235.2
## - occupation:married 1 27348 91334324 7235.2
## - education:ethnicity 1 44392 91351368 7235.3
## - occupation:ethnicity 1 44500 91351475 7235.3
## - industry:gender 1 63586 91370561 7235.4
## - south:smsa 1 64843 91371818 7235.4
## - weeks:ethnicity 1 64860 91371835 7235.4
## - union:ethnicity 1 76486 91383462 7235.5
## - gender:union 1 79660 91386636 7235.5
## - experience:married 1 87333 91394308 7235.6
## - industry:education 1 95350 91402326 7235.6
## - experience:union 1 101742 91408718 7235.7
## - weeks:occupation 1 102533 91409509 7235.7
## - weeks:south 1 107228 91414204 7235.7
## - experience:gender 1 127006 91433981 7235.8
## - smsa:gender 1 144756 91451731 7235.9
## - experience:ethnicity 1 150947 91457923 7236.0
## - weeks:smsa 1 156782 91463758 7236.0
## - married:union 1 190407 91497382 7236.2
## - industry:ethnicity 1 202927 91509903 7236.3
## - married:ethnicity 1 207392 91514367 7236.3
## - experience:weeks 1 241189 91548164 7236.6
## - smsa:union 1 247669 91554645 7236.6
## <none> 91306975 7237.0
## - industry:smsa 1 397490 91704466 7237.6
## - experience:occupation 1 410984 91717960 7237.7
## - occupation:union 1 422118 91729093 7237.7
## - gender:ethnicity 1 563265 91870240 7238.7
## + experience:education 1 2 91306973 7239.0
## - occupation:education 1 621310 91928286 7239.0
## - industry:south 1 754162 92061138 7239.9
## - weeks:gender 1 843006 92149982 7240.5
## - industry:union 1 904630 92211605 7240.9
## - south:education 1 1180347 92487322 7242.6
## - union:education 1 1318095 92625071 7243.5
## - weeks:married 1 1507936 92814912 7244.7
##
## Step: AIC=7235
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:industry + occupation:south + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:union + south:education + south:ethnicity +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:industry 1 655 91307714 7233.0
## - south:ethnicity 1 938 91307997 7233.0
## - south:union 1 1043 91308102 7233.0
## - experience:industry 1 1318 91308377 7233.0
## - smsa:education 1 1460 91308519 7233.0
## - gender:education 1 2086 91309145 7233.0
## - experience:south 1 2376 91309435 7233.0
## - weeks:union 1 3408 91310467 7233.0
## - occupation:south 1 3698 91310757 7233.0
## - smsa:married 1 7696 91314755 7233.1
## - weeks:industry 1 8185 91315244 7233.1
## - occupation:smsa 1 8455 91315514 7233.1
## - south:married 1 10656 91317715 7233.1
## - experience:smsa 1 12992 91320051 7233.1
## - occupation:gender 1 15753 91322812 7233.1
## - married:gender 1 18998 91326057 7233.1
## - smsa:ethnicity 1 20570 91327629 7233.1
## - south:gender 1 21398 91328457 7233.1
## - weeks:education 1 24626 91331685 7233.2
## - industry:married 1 26885 91333944 7233.2
## - education:ethnicity 1 44479 91351538 7233.3
## - occupation:ethnicity 1 44751 91351810 7233.3
## - occupation:married 1 60906 91367965 7233.4
## - south:smsa 1 64928 91371987 7233.4
## - industry:gender 1 66135 91373194 7233.4
## - weeks:ethnicity 1 66321 91373380 7233.4
## - union:ethnicity 1 76698 91383757 7233.5
## - gender:union 1 79751 91386810 7233.5
## - experience:married 1 89098 91396157 7233.6
## - industry:education 1 95307 91402366 7233.6
## - experience:union 1 101844 91408903 7233.7
## - weeks:occupation 1 102452 91409511 7233.7
## - weeks:south 1 107633 91414692 7233.7
## - experience:gender 1 127691 91434750 7233.8
## - smsa:gender 1 144694 91451753 7233.9
## - experience:ethnicity 1 151353 91458412 7234.0
## - weeks:smsa 1 156729 91463788 7234.0
## - married:union 1 190406 91497465 7234.2
## - industry:ethnicity 1 202860 91509919 7234.3
## - married:ethnicity 1 236420 91543479 7234.5
## - experience:weeks 1 242203 91549262 7234.6
## - smsa:union 1 247678 91554737 7234.6
## <none> 91307059 7235.0
## - industry:smsa 1 397407 91704467 7235.6
## - experience:occupation 1 410932 91717991 7235.7
## - occupation:union 1 422222 91729281 7235.7
## + married:education 1 84 91306975 7237.0
## + experience:education 1 0 91307059 7237.0
## - gender:ethnicity 1 621670 91928729 7237.0
## - occupation:education 1 621762 91928821 7237.0
## - industry:south 1 755862 92062921 7237.9
## - weeks:gender 1 843241 92150300 7238.5
## - industry:union 1 904547 92211606 7238.9
## - south:education 1 1180683 92487742 7240.6
## - union:education 1 1319487 92626546 7241.5
## - weeks:married 1 1514222 92821281 7242.8
##
## Step: AIC=7233
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:union +
## south:education + south:ethnicity + smsa:married + smsa:gender +
## smsa:union + smsa:education + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:education +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:ethnicity 1 894 91308609 7231.0
## - south:union 1 1100 91308815 7231.0
## - experience:industry 1 1131 91308845 7231.0
## - smsa:education 1 1302 91309017 7231.0
## - gender:education 1 1747 91309461 7231.0
## - experience:south 1 2243 91309958 7231.0
## - weeks:union 1 3477 91311191 7231.0
## - occupation:south 1 3543 91311257 7231.0
## - smsa:married 1 7559 91315274 7231.1
## - weeks:industry 1 8188 91315903 7231.1
## - occupation:smsa 1 8340 91316054 7231.1
## - south:married 1 10496 91318211 7231.1
## - experience:smsa 1 13368 91321082 7231.1
## - occupation:gender 1 16780 91324494 7231.1
## - married:gender 1 19004 91326719 7231.1
## - smsa:ethnicity 1 20751 91328465 7231.1
## - south:gender 1 21158 91328872 7231.1
## - weeks:education 1 25791 91333505 7231.2
## - industry:married 1 26940 91334654 7231.2
## - occupation:ethnicity 1 44209 91351924 7231.3
## - education:ethnicity 1 45216 91352931 7231.3
## - occupation:married 1 60251 91367966 7231.4
## - south:smsa 1 64518 91372232 7231.4
## - industry:gender 1 65577 91373291 7231.4
## - weeks:ethnicity 1 67968 91375683 7231.4
## - union:ethnicity 1 77438 91385153 7231.5
## - gender:union 1 79225 91386939 7231.5
## - experience:married 1 89676 91397391 7231.6
## - weeks:occupation 1 101939 91409653 7231.7
## - experience:union 1 102977 91410692 7231.7
## - weeks:south 1 108557 91416272 7231.7
## - experience:gender 1 128598 91436312 7231.8
## - industry:education 1 143217 91450931 7231.9
## - smsa:gender 1 144843 91452557 7231.9
## - experience:ethnicity 1 152497 91460211 7232.0
## - weeks:smsa 1 156504 91464219 7232.0
## - married:union 1 189990 91497704 7232.2
## - industry:ethnicity 1 203710 91511424 7232.3
## - married:ethnicity 1 237397 91545111 7232.5
## - experience:weeks 1 243623 91551337 7232.6
## - smsa:union 1 248743 91556458 7232.6
## <none> 91307714 7233.0
## - industry:smsa 1 397791 91705505 7233.6
## - experience:occupation 1 412653 91720368 7233.7
## - occupation:union 1 426855 91734570 7233.8
## + occupation:industry 1 655 91307059 7235.0
## + married:education 1 119 91307596 7235.0
## + experience:education 1 1 91307714 7235.0
## - occupation:education 1 621645 91929359 7235.0
## - gender:ethnicity 1 626490 91934205 7235.1
## - industry:south 1 758603 92066317 7235.9
## - weeks:gender 1 842590 92150305 7236.5
## - industry:union 1 1034938 92342652 7237.7
## - south:education 1 1181633 92489348 7238.7
## - union:education 1 1332643 92640357 7239.6
## - weeks:married 1 1513613 92821327 7240.8
##
## Step: AIC=7231.01
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:union +
## south:education + smsa:married + smsa:gender + smsa:union +
## smsa:education + smsa:ethnicity + married:gender + married:union +
## married:ethnicity + gender:union + gender:education + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:union 1 1105 91309714 7229.0
## - experience:industry 1 1117 91309726 7229.0
## - smsa:education 1 1252 91309861 7229.0
## - gender:education 1 1727 91310335 7229.0
## - experience:south 1 2552 91311161 7229.0
## - weeks:union 1 3354 91311963 7229.0
## - occupation:south 1 3740 91312349 7229.0
## - smsa:married 1 7467 91316076 7229.1
## - weeks:industry 1 7787 91316396 7229.1
## - occupation:smsa 1 8195 91316804 7229.1
## - south:married 1 10035 91318644 7229.1
## - experience:smsa 1 13158 91321767 7229.1
## - occupation:gender 1 16014 91324622 7229.1
## - married:gender 1 19165 91327774 7229.1
## - south:gender 1 22202 91330811 7229.2
## - smsa:ethnicity 1 22937 91331546 7229.2
## - industry:married 1 26432 91335041 7229.2
## - weeks:education 1 27066 91335675 7229.2
## - occupation:ethnicity 1 45927 91354535 7229.3
## - education:ethnicity 1 46242 91354851 7229.3
## - occupation:married 1 59706 91368315 7229.4
## - industry:gender 1 66906 91375515 7229.4
## - weeks:ethnicity 1 69598 91378207 7229.5
## - south:smsa 1 72426 91381035 7229.5
## - gender:union 1 78677 91387286 7229.5
## - union:ethnicity 1 89603 91398212 7229.6
## - experience:married 1 90060 91398668 7229.6
## - weeks:occupation 1 101177 91409786 7229.7
## - experience:union 1 102250 91410859 7229.7
## - weeks:south 1 107679 91416288 7229.7
## - experience:gender 1 128151 91436760 7229.8
## - industry:education 1 144749 91453358 7230.0
## - smsa:gender 1 146220 91454828 7230.0
## - weeks:smsa 1 156815 91465423 7230.0
## - experience:ethnicity 1 162705 91471314 7230.1
## - married:union 1 192822 91501431 7230.3
## - industry:ethnicity 1 204624 91513233 7230.3
## - experience:weeks 1 243385 91551994 7230.6
## - smsa:union 1 248153 91556762 7230.6
## - married:ethnicity 1 255771 91564380 7230.7
## <none> 91308609 7231.0
## - industry:smsa 1 400501 91709110 7231.6
## - experience:occupation 1 411762 91720371 7231.7
## - occupation:union 1 437048 91745657 7231.9
## + south:ethnicity 1 894 91307714 7233.0
## + occupation:industry 1 612 91307997 7233.0
## + married:education 1 124 91308485 7233.0
## + experience:education 1 0 91308609 7233.0
## - occupation:education 1 623737 91932346 7233.1
## - gender:ethnicity 1 634497 91943106 7233.1
## - industry:south 1 758484 92067092 7233.9
## - weeks:gender 1 896795 92205403 7234.8
## - industry:union 1 1034530 92343138 7235.7
## - south:education 1 1182880 92491489 7236.7
## - union:education 1 1332718 92641327 7237.6
## - weeks:married 1 1570636 92879244 7239.2
##
## Step: AIC=7229.02
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:industry + experience:south +
## experience:smsa + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:industry + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:union + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:industry 1 1087 91310801 7227.0
## - smsa:education 1 1422 91311135 7227.0
## - gender:education 1 1727 91311440 7227.0
## - experience:south 1 2304 91312018 7227.0
## - weeks:union 1 3183 91312897 7227.0
## - occupation:south 1 5314 91315028 7227.1
## - occupation:smsa 1 7325 91317038 7227.1
## - weeks:industry 1 7561 91317274 7227.1
## - smsa:married 1 7616 91317330 7227.1
## - south:married 1 10679 91320393 7227.1
## - experience:smsa 1 13141 91322854 7227.1
## - occupation:gender 1 15627 91325340 7227.1
## - married:gender 1 18935 91328649 7227.1
## - south:gender 1 21354 91331067 7227.2
## - smsa:ethnicity 1 22401 91332115 7227.2
## - industry:married 1 25952 91335665 7227.2
## - weeks:education 1 27745 91337458 7227.2
## - education:ethnicity 1 47106 91356819 7227.3
## - occupation:ethnicity 1 48537 91358251 7227.3
## - occupation:married 1 59072 91368786 7227.4
## - industry:gender 1 66784 91376498 7227.5
## - weeks:ethnicity 1 70281 91379994 7227.5
## - south:smsa 1 74168 91383881 7227.5
## - gender:union 1 77574 91387288 7227.5
## - union:ethnicity 1 88632 91398345 7227.6
## - experience:married 1 92173 91401886 7227.6
## - weeks:occupation 1 100385 91410098 7227.7
## - experience:union 1 101329 91411043 7227.7
## - weeks:south 1 107123 91416836 7227.7
## - experience:gender 1 128486 91438199 7227.9
## - industry:education 1 143665 91453378 7228.0
## - smsa:gender 1 146103 91455816 7228.0
## - weeks:smsa 1 158735 91468448 7228.1
## - experience:ethnicity 1 162464 91472178 7228.1
## - married:union 1 192607 91502321 7228.3
## - industry:ethnicity 1 204550 91514263 7228.3
## - experience:weeks 1 243451 91553164 7228.6
## - smsa:union 1 252834 91562548 7228.7
## - married:ethnicity 1 258376 91568089 7228.7
## <none> 91309714 7229.0
## - industry:smsa 1 407013 91716727 7229.7
## - experience:occupation 1 422158 91731872 7229.8
## - occupation:union 1 447226 91756939 7229.9
## + south:union 1 1105 91308609 7231.0
## + south:ethnicity 1 899 91308815 7231.0
## + occupation:industry 1 667 91309046 7231.0
## + married:education 1 107 91309606 7231.0
## + experience:education 1 1 91309713 7231.0
## - occupation:education 1 630284 91939997 7231.1
## - gender:ethnicity 1 634198 91943911 7231.1
## - industry:south 1 766957 92076671 7232.0
## - weeks:gender 1 898271 92207985 7232.8
## - industry:union 1 1033427 92343140 7233.7
## - south:education 1 1190365 92500078 7234.7
## - union:education 1 1380414 92690128 7235.9
## - weeks:married 1 1570625 92880339 7237.2
##
## Step: AIC=7227.02
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:south + experience:smsa +
## experience:married + experience:gender + experience:union +
## experience:ethnicity + weeks:occupation + weeks:industry +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:union + weeks:education + weeks:ethnicity + occupation:south +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:education +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:education + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:education 1 1342 91312143 7225.0
## - gender:education 1 1666 91312467 7225.0
## - experience:south 1 1838 91312638 7225.0
## - weeks:union 1 3087 91313888 7225.0
## - occupation:south 1 5086 91315886 7225.1
## - weeks:industry 1 7030 91317830 7225.1
## - smsa:married 1 7557 91318358 7225.1
## - occupation:smsa 1 7717 91318518 7225.1
## - south:married 1 11108 91321909 7225.1
## - experience:smsa 1 13292 91324093 7225.1
## - occupation:gender 1 15599 91326400 7225.1
## - married:gender 1 19115 91329915 7225.1
## - south:gender 1 21809 91332609 7225.2
## - smsa:ethnicity 1 22234 91333034 7225.2
## - industry:married 1 25124 91335925 7225.2
## - weeks:education 1 27583 91338384 7225.2
## - education:ethnicity 1 47495 91358296 7225.3
## - occupation:ethnicity 1 48161 91358961 7225.3
## - occupation:married 1 60106 91370907 7225.4
## - industry:gender 1 66629 91377429 7225.5
## - weeks:ethnicity 1 69830 91380631 7225.5
## - south:smsa 1 74029 91384830 7225.5
## - gender:union 1 78783 91389583 7225.5
## - union:ethnicity 1 87983 91398784 7225.6
## - experience:married 1 92371 91403171 7225.6
## - weeks:occupation 1 101606 91412407 7225.7
## - experience:union 1 102933 91413734 7225.7
## - weeks:south 1 106514 91417314 7225.7
## - experience:gender 1 127800 91438600 7225.9
## - smsa:gender 1 146555 91457356 7226.0
## - industry:education 1 158263 91469064 7226.1
## - weeks:smsa 1 159069 91469869 7226.1
## - experience:ethnicity 1 161453 91472253 7226.1
## - married:union 1 194039 91504839 7226.3
## - industry:ethnicity 1 204282 91515082 7226.4
## - experience:weeks 1 242367 91553167 7226.6
## - smsa:union 1 251810 91562611 7226.7
## - married:ethnicity 1 260542 91571342 7226.7
## <none> 91310801 7227.0
## - industry:smsa 1 421468 91732269 7227.8
## - experience:occupation 1 436887 91747688 7227.9
## - occupation:union 1 446139 91756939 7227.9
## + experience:industry 1 1087 91309714 7229.0
## + south:union 1 1075 91309726 7229.0
## + south:ethnicity 1 886 91309915 7229.0
## + occupation:industry 1 481 91310319 7229.0
## + married:education 1 162 91310638 7229.0
## + experience:education 1 0 91310801 7229.0
## - occupation:education 1 629812 91940613 7229.1
## - gender:ethnicity 1 636293 91947094 7229.2
## - industry:south 1 768557 92079357 7230.0
## - weeks:gender 1 898368 92209169 7230.9
## - industry:union 1 1037784 92348585 7231.7
## - south:education 1 1189279 92500079 7232.7
## - union:education 1 1385837 92696637 7234.0
## - weeks:married 1 1572634 92883435 7235.2
##
## Step: AIC=7225.03
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:south + experience:smsa +
## experience:married + experience:gender + experience:union +
## experience:ethnicity + weeks:occupation + weeks:industry +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:union + weeks:education + weeks:ethnicity + occupation:south +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:education + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:south 1 1717 91313860 7223.0
## - gender:education 1 1905 91314048 7223.0
## - weeks:union 1 3051 91315194 7223.1
## - occupation:south 1 4334 91316477 7223.1
## - weeks:industry 1 7045 91319187 7223.1
## - smsa:married 1 7313 91319455 7223.1
## - south:married 1 11262 91323404 7223.1
## - occupation:gender 1 15426 91327569 7223.1
## - experience:smsa 1 16694 91328837 7223.1
## - occupation:smsa 1 17469 91329612 7223.1
## - married:gender 1 18927 91331070 7223.2
## - smsa:ethnicity 1 21150 91333292 7223.2
## - south:gender 1 21720 91333863 7223.2
## - industry:married 1 24906 91337049 7223.2
## - weeks:education 1 27314 91339457 7223.2
## - occupation:ethnicity 1 47067 91359210 7223.3
## - education:ethnicity 1 53868 91366011 7223.4
## - occupation:married 1 60788 91372931 7223.4
## - industry:gender 1 66322 91378465 7223.5
## - weeks:ethnicity 1 69706 91381849 7223.5
## - south:smsa 1 72725 91384868 7223.5
## - gender:union 1 77765 91389908 7223.5
## - union:ethnicity 1 87305 91399448 7223.6
## - experience:married 1 91564 91403707 7223.6
## - weeks:occupation 1 101710 91413853 7223.7
## - experience:union 1 103284 91415427 7223.7
## - weeks:south 1 105397 91417540 7223.7
## - experience:gender 1 127824 91439967 7223.9
## - smsa:gender 1 145532 91457675 7224.0
## - industry:education 1 157406 91469549 7224.1
## - weeks:smsa 1 157727 91469870 7224.1
## - experience:ethnicity 1 163042 91475185 7224.1
## - married:union 1 193490 91505633 7224.3
## - industry:ethnicity 1 204054 91516197 7224.4
## - experience:weeks 1 242817 91554960 7224.6
## - smsa:union 1 250961 91563104 7224.7
## - married:ethnicity 1 262066 91574209 7224.7
## <none> 91312143 7225.0
## - industry:smsa 1 423467 91735609 7225.8
## - experience:occupation 1 435581 91747724 7225.9
## - occupation:union 1 444852 91756995 7225.9
## + smsa:education 1 1342 91310801 7227.0
## + south:union 1 1238 91310905 7227.0
## + experience:industry 1 1008 91311135 7227.0
## + south:ethnicity 1 835 91311308 7227.0
## + occupation:industry 1 357 91311786 7227.0
## + married:education 1 121 91312022 7227.0
## + experience:education 1 1 91312142 7227.0
## - gender:ethnicity 1 636551 91948694 7227.2
## - occupation:education 1 652919 91965062 7227.3
## - industry:south 1 776195 92088338 7228.1
## - weeks:gender 1 897093 92209236 7228.9
## - industry:union 1 1036806 92348949 7229.8
## - south:education 1 1239977 92552120 7231.1
## - union:education 1 1397651 92709794 7232.1
## - weeks:married 1 1571293 92883435 7233.2
##
## Step: AIC=7223.04
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:union + weeks:education +
## weeks:ethnicity + occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:education + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - gender:education 1 1745 91315605 7221.1
## - weeks:union 1 2552 91316412 7221.1
## - occupation:south 1 4081 91317941 7221.1
## - weeks:industry 1 7273 91321133 7221.1
## - smsa:married 1 7344 91321204 7221.1
## - south:married 1 12279 91326139 7221.1
## - occupation:gender 1 15768 91329628 7221.1
## - occupation:smsa 1 17485 91331344 7221.2
## - married:gender 1 17811 91331670 7221.2
## - experience:smsa 1 19356 91333216 7221.2
## - south:gender 1 21269 91335128 7221.2
## - smsa:ethnicity 1 21986 91335846 7221.2
## - industry:married 1 24403 91338263 7221.2
## - weeks:education 1 28395 91342254 7221.2
## - occupation:ethnicity 1 46884 91360744 7221.4
## - education:ethnicity 1 55145 91369005 7221.4
## - occupation:married 1 62542 91376402 7221.5
## - industry:gender 1 65614 91379473 7221.5
## - weeks:ethnicity 1 69275 91383135 7221.5
## - south:smsa 1 74376 91388236 7221.5
## - gender:union 1 78727 91392587 7221.6
## - experience:married 1 90246 91404106 7221.6
## - union:ethnicity 1 91101 91404961 7221.6
## - weeks:occupation 1 101362 91415222 7221.7
## - experience:union 1 102218 91416078 7221.7
## - weeks:south 1 104300 91418160 7221.7
## - experience:gender 1 126269 91440129 7221.9
## - smsa:gender 1 145837 91459697 7222.0
## - industry:education 1 156397 91470257 7222.1
## - weeks:smsa 1 157214 91471074 7222.1
## - experience:ethnicity 1 179239 91493099 7222.2
## - married:union 1 199058 91512918 7222.3
## - industry:ethnicity 1 204337 91518197 7222.4
## - experience:weeks 1 241536 91555396 7222.6
## - smsa:union 1 252694 91566554 7222.7
## - married:ethnicity 1 261860 91575719 7222.7
## <none> 91313860 7223.0
## - industry:smsa 1 423650 91737509 7223.8
## - experience:occupation 1 440113 91753972 7223.9
## - occupation:union 1 445680 91759540 7223.9
## + experience:south 1 1717 91312143 7225.0
## + smsa:education 1 1222 91312638 7225.0
## + south:ethnicity 1 1085 91312775 7225.0
## + south:union 1 1004 91312856 7225.0
## + experience:industry 1 577 91313283 7225.0
## + occupation:industry 1 296 91313564 7225.0
## + married:education 1 96 91313764 7225.0
## + experience:education 1 30 91313830 7225.0
## - gender:ethnicity 1 638664 91952524 7225.2
## - occupation:education 1 655286 91969146 7225.3
## - industry:south 1 775025 92088885 7226.1
## - weeks:gender 1 895377 92209236 7226.9
## - industry:union 1 1035201 92349061 7227.8
## - south:education 1 1304488 92618348 7229.5
## - union:education 1 1403408 92717268 7230.1
## - weeks:married 1 1571747 92885606 7231.2
##
## Step: AIC=7221.06
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:union + weeks:education +
## weeks:ethnicity + occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:union 1 2668 91318272 7219.1
## - occupation:south 1 4367 91319972 7219.1
## - weeks:industry 1 6825 91322429 7219.1
## - smsa:married 1 7490 91323095 7219.1
## - south:married 1 12573 91328178 7219.1
## - married:gender 1 16938 91332542 7219.2
## - occupation:smsa 1 16950 91332555 7219.2
## - experience:smsa 1 19484 91335088 7219.2
## - smsa:ethnicity 1 21367 91336972 7219.2
## - south:gender 1 21664 91337269 7219.2
## - occupation:gender 1 24385 91339990 7219.2
## - industry:married 1 24408 91340012 7219.2
## - weeks:education 1 30894 91346498 7219.3
## - occupation:ethnicity 1 45308 91360913 7219.4
## - education:ethnicity 1 59815 91375420 7219.4
## - occupation:married 1 62958 91378563 7219.5
## - industry:gender 1 64608 91380213 7219.5
## - weeks:ethnicity 1 69280 91384884 7219.5
## - south:smsa 1 74123 91389728 7219.5
## - gender:union 1 81714 91397318 7219.6
## - experience:married 1 90675 91406280 7219.6
## - union:ethnicity 1 91061 91406666 7219.6
## - weeks:occupation 1 100261 91415865 7219.7
## - experience:union 1 103019 91418623 7219.7
## - weeks:south 1 104522 91420126 7219.7
## - experience:gender 1 125629 91441233 7219.9
## - smsa:gender 1 148130 91463734 7220.0
## - weeks:smsa 1 156892 91472496 7220.1
## - industry:education 1 166052 91481657 7220.1
## - experience:ethnicity 1 181902 91497507 7220.2
## - married:union 1 199765 91515370 7220.4
## - industry:ethnicity 1 202699 91518303 7220.4
## - experience:weeks 1 247836 91563441 7220.7
## - smsa:union 1 250959 91566563 7220.7
## - married:ethnicity 1 272586 91588190 7220.8
## <none> 91315605 7221.1
## - industry:smsa 1 425397 91741002 7221.8
## - experience:occupation 1 440749 91756353 7221.9
## - occupation:union 1 451247 91766851 7222.0
## + gender:education 1 1745 91313860 7223.0
## + experience:south 1 1557 91314048 7223.0
## + smsa:education 1 1445 91314159 7223.0
## + south:ethnicity 1 1045 91314559 7223.0
## + south:union 1 1028 91314576 7223.0
## + married:education 1 699 91314906 7223.1
## + experience:industry 1 543 91315061 7223.1
## + experience:education 1 141 91315463 7223.1
## + occupation:industry 1 91 91315514 7223.1
## - occupation:education 1 654644 91970249 7223.3
## - gender:ethnicity 1 668144 91983749 7223.4
## - industry:south 1 773281 92088886 7224.1
## - weeks:gender 1 897886 92213491 7224.9
## - industry:union 1 1034299 92349904 7225.8
## - south:education 1 1307257 92622861 7227.5
## - union:education 1 1402900 92718505 7228.1
## - weeks:married 1 1571155 92886760 7229.2
##
## Step: AIC=7219.07
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:south + occupation:smsa + occupation:married +
## occupation:gender + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:south 1 3893 91322166 7217.1
## - weeks:industry 1 6916 91325189 7217.1
## - smsa:married 1 7675 91325947 7217.1
## - south:married 1 12776 91331048 7217.2
## - married:gender 1 17144 91335417 7217.2
## - experience:smsa 1 17755 91336028 7217.2
## - occupation:smsa 1 18227 91336499 7217.2
## - smsa:ethnicity 1 21099 91339371 7217.2
## - south:gender 1 21461 91339733 7217.2
## - occupation:gender 1 24316 91342588 7217.2
## - industry:married 1 25173 91343445 7217.2
## - weeks:education 1 32162 91350434 7217.3
## - occupation:ethnicity 1 45552 91363825 7217.4
## - education:ethnicity 1 59925 91378197 7217.5
## - industry:gender 1 64148 91382421 7217.5
## - occupation:married 1 64380 91382652 7217.5
## - weeks:ethnicity 1 74558 91392830 7217.6
## - south:smsa 1 75658 91393930 7217.6
## - gender:union 1 79966 91398238 7217.6
## - experience:married 1 90317 91408589 7217.7
## - union:ethnicity 1 90694 91408967 7217.7
## - experience:union 1 100497 91418770 7217.7
## - weeks:south 1 101897 91420169 7217.7
## - weeks:occupation 1 116904 91435176 7217.8
## - experience:gender 1 124392 91442664 7217.9
## - smsa:gender 1 148530 91466802 7218.0
## - industry:education 1 165536 91483808 7218.2
## - experience:ethnicity 1 181221 91499493 7218.3
## - weeks:smsa 1 200247 91518520 7218.4
## - industry:ethnicity 1 200951 91519223 7218.4
## - married:union 1 203103 91521376 7218.4
## - experience:weeks 1 245208 91563481 7218.7
## - smsa:union 1 271016 91589289 7218.8
## - married:ethnicity 1 273184 91591456 7218.9
## <none> 91318272 7219.1
## - industry:smsa 1 422790 91741062 7219.8
## - experience:occupation 1 443420 91761692 7220.0
## - occupation:union 1 448761 91767034 7220.0
## + weeks:union 1 2668 91315605 7221.1
## + gender:education 1 1860 91316412 7221.1
## + smsa:education 1 1437 91316835 7221.1
## + experience:south 1 1071 91317201 7221.1
## + south:union 1 908 91317364 7221.1
## + south:ethnicity 1 886 91317387 7221.1
## + married:education 1 770 91317502 7221.1
## + experience:industry 1 532 91317741 7221.1
## + experience:education 1 172 91318100 7221.1
## + occupation:industry 1 117 91318155 7221.1
## - occupation:education 1 660097 91978370 7221.4
## - gender:ethnicity 1 667219 91985491 7221.4
## - industry:south 1 772424 92090696 7222.1
## - weeks:gender 1 900033 92218305 7222.9
## - industry:union 1 1033007 92351279 7223.8
## - south:education 1 1307956 92626228 7225.5
## - union:education 1 1408689 92726961 7226.2
## - weeks:married 1 1586335 92904608 7227.3
##
## Step: AIC=7217.1
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:married + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:married 1 7707 91329872 7215.1
## - weeks:industry 1 7809 91329974 7215.1
## - south:married 1 12580 91334746 7215.2
## - married:gender 1 17096 91339261 7215.2
## - experience:smsa 1 17273 91339439 7215.2
## - occupation:smsa 1 20465 91342631 7215.2
## - south:gender 1 20777 91342942 7215.2
## - smsa:ethnicity 1 22236 91344402 7215.2
## - occupation:gender 1 24075 91346241 7215.3
## - industry:married 1 24991 91347157 7215.3
## - weeks:education 1 33460 91355626 7215.3
## - occupation:ethnicity 1 42773 91364938 7215.4
## - education:ethnicity 1 60640 91382806 7215.5
## - occupation:married 1 63679 91385845 7215.5
## - industry:gender 1 63934 91386100 7215.5
## - south:smsa 1 72845 91395011 7215.6
## - weeks:ethnicity 1 77439 91399605 7215.6
## - gender:union 1 79870 91402036 7215.6
## - experience:married 1 89189 91411354 7215.7
## - union:ethnicity 1 95765 91417931 7215.7
## - experience:union 1 101071 91423237 7215.8
## - weeks:south 1 101856 91424022 7215.8
## - weeks:occupation 1 114285 91436450 7215.8
## - experience:gender 1 123614 91445779 7215.9
## - smsa:gender 1 149012 91471178 7216.1
## - industry:education 1 162028 91484194 7216.2
## - experience:ethnicity 1 180620 91502786 7216.3
## - weeks:smsa 1 200350 91522515 7216.4
## - married:union 1 202554 91524720 7216.4
## - industry:ethnicity 1 204837 91527003 7216.4
## - experience:weeks 1 243664 91565830 7216.7
## - married:ethnicity 1 269662 91591827 7216.9
## - smsa:union 1 282666 91604831 7216.9
## <none> 91322166 7217.1
## - industry:smsa 1 424610 91746776 7217.9
## - experience:occupation 1 442474 91764640 7218.0
## - occupation:union 1 473189 91795355 7218.2
## + occupation:south 1 3893 91318272 7219.1
## + weeks:union 1 2194 91319972 7219.1
## + gender:education 1 2128 91320038 7219.1
## + south:union 1 2110 91320055 7219.1
## + south:ethnicity 1 1111 91321054 7219.1
## + experience:south 1 906 91321259 7219.1
## + married:education 1 794 91321372 7219.1
## + smsa:education 1 705 91321461 7219.1
## + experience:industry 1 429 91321736 7219.1
## + experience:education 1 250 91321916 7219.1
## + occupation:industry 1 73 91322093 7219.1
## - occupation:education 1 657721 91979886 7219.4
## - gender:ethnicity 1 664937 91987103 7219.4
## - industry:south 1 810849 92133015 7220.4
## - weeks:gender 1 898963 92221129 7220.9
## - industry:union 1 1041789 92363954 7221.8
## - union:education 1 1413780 92735945 7224.2
## - weeks:married 1 1586977 92909143 7225.3
## - south:education 1 1743189 93065355 7226.3
##
## Step: AIC=7215.15
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:industry + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:education + weeks:ethnicity +
## occupation:smsa + occupation:married + occupation:gender +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:married + south:gender + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:industry 1 6887 91336760 7213.2
## - south:married 1 16580 91346452 7213.3
## - occupation:smsa 1 19084 91348957 7213.3
## - married:gender 1 19348 91349220 7213.3
## - experience:smsa 1 19445 91349317 7213.3
## - occupation:gender 1 20812 91350684 7213.3
## - industry:married 1 21738 91351611 7213.3
## - smsa:ethnicity 1 23180 91353052 7213.3
## - south:gender 1 24786 91354659 7213.3
## - weeks:education 1 34402 91364275 7213.4
## - occupation:ethnicity 1 45208 91375080 7213.4
## - occupation:married 1 57552 91387424 7213.5
## - industry:gender 1 61581 91391454 7213.6
## - education:ethnicity 1 62296 91392168 7213.6
## - south:smsa 1 75320 91405193 7213.6
## - weeks:ethnicity 1 75641 91405513 7213.6
## - gender:union 1 78207 91408080 7213.7
## - experience:married 1 90993 91420865 7213.7
## - union:ethnicity 1 93786 91423658 7213.8
## - weeks:south 1 97734 91427607 7213.8
## - experience:union 1 101107 91430979 7213.8
## - weeks:occupation 1 115334 91445207 7213.9
## - experience:gender 1 125634 91455506 7214.0
## - industry:education 1 160208 91490081 7214.2
## - experience:ethnicity 1 182456 91512329 7214.3
## - weeks:smsa 1 196729 91526602 7214.4
## - married:union 1 199085 91528957 7214.4
## - industry:ethnicity 1 202175 91532047 7214.5
## - experience:weeks 1 240350 91570222 7214.7
## - smsa:union 1 277162 91607034 7215.0
## - married:ethnicity 1 280645 91610518 7215.0
## <none> 91329872 7215.1
## - smsa:gender 1 334544 91664417 7215.3
## - industry:smsa 1 429397 91759269 7215.9
## - experience:occupation 1 441514 91771387 7216.0
## - occupation:union 1 474188 91804060 7216.2
## + smsa:married 1 7707 91322166 7217.1
## + occupation:south 1 3925 91325947 7217.1
## + weeks:union 1 2359 91327513 7217.1
## + gender:education 1 2297 91327576 7217.1
## + south:union 1 2286 91327587 7217.1
## + south:ethnicity 1 1009 91328863 7217.1
## + married:education 1 964 91328908 7217.1
## + experience:south 1 911 91328962 7217.1
## + smsa:education 1 533 91329339 7217.1
## + experience:industry 1 393 91329480 7217.1
## + experience:education 1 192 91329680 7217.1
## + occupation:industry 1 36 91329837 7217.1
## - occupation:education 1 661204 91991077 7217.4
## - gender:ethnicity 1 675499 92005371 7217.5
## - industry:south 1 835478 92165351 7218.6
## - weeks:gender 1 922055 92251927 7219.1
## - industry:union 1 1034239 92364112 7219.8
## - union:education 1 1420257 92750129 7222.3
## - weeks:married 1 1629901 92959773 7223.7
## - south:education 1 1740631 93070503 7224.4
##
## Step: AIC=7213.19
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:married +
## south:gender + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:gender + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:married 1 18218 91354977 7211.3
## - occupation:gender 1 19000 91355759 7211.3
## - experience:smsa 1 19446 91356206 7211.3
## - occupation:smsa 1 19826 91356585 7211.3
## - married:gender 1 20235 91356994 7211.3
## - smsa:ethnicity 1 21306 91358066 7211.3
## - industry:married 1 21721 91358480 7211.3
## - south:gender 1 25794 91362554 7211.4
## - weeks:education 1 43083 91379842 7211.5
## - occupation:ethnicity 1 47833 91384593 7211.5
## - occupation:married 1 58036 91394796 7211.6
## - education:ethnicity 1 61386 91398146 7211.6
## - industry:gender 1 66112 91402871 7211.6
## - south:smsa 1 75172 91411932 7211.7
## - gender:union 1 77329 91414089 7211.7
## - weeks:ethnicity 1 92263 91429022 7211.8
## - experience:married 1 93796 91430555 7211.8
## - union:ethnicity 1 94576 91431335 7211.8
## - experience:union 1 102818 91439578 7211.9
## - weeks:south 1 109013 91445772 7211.9
## - experience:gender 1 130727 91467487 7212.0
## - weeks:occupation 1 141885 91478644 7212.1
## - industry:education 1 160715 91497474 7212.2
## - experience:ethnicity 1 184771 91521530 7212.4
## - married:union 1 197558 91534318 7212.5
## - industry:ethnicity 1 199423 91536182 7212.5
## - weeks:smsa 1 239991 91576750 7212.8
## - experience:weeks 1 255997 91592757 7212.9
## - smsa:union 1 275402 91612162 7213.0
## - married:ethnicity 1 288277 91625037 7213.1
## <none> 91336760 7213.2
## - smsa:gender 1 340671 91677431 7213.4
## - industry:smsa 1 434038 91770797 7214.0
## - experience:occupation 1 441980 91778740 7214.1
## - occupation:union 1 468187 91804946 7214.2
## + weeks:industry 1 6887 91329872 7215.1
## + smsa:married 1 6785 91329974 7215.1
## + occupation:south 1 4762 91331998 7215.2
## + weeks:union 1 2387 91334372 7215.2
## + south:union 1 2117 91334643 7215.2
## + gender:education 1 1793 91334967 7215.2
## + experience:south 1 1066 91335693 7215.2
## + south:ethnicity 1 641 91336119 7215.2
## + married:education 1 529 91336231 7215.2
## + smsa:education 1 476 91336283 7215.2
## + experience:education 1 125 91336634 7215.2
## + experience:industry 1 102 91336657 7215.2
## + occupation:industry 1 64 91336696 7215.2
## - occupation:education 1 655228 91991988 7215.4
## - gender:ethnicity 1 688291 92025051 7215.7
## - industry:south 1 828621 92165381 7216.6
## - industry:union 1 1030914 92367673 7217.9
## - weeks:gender 1 1037751 92374511 7217.9
## - union:education 1 1425423 92762183 7220.4
## - weeks:married 1 1681076 93017835 7222.0
## - south:education 1 1737991 93074750 7222.4
##
## Step: AIC=7211.31
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:gender +
## south:education + smsa:gender + smsa:union + smsa:ethnicity +
## married:gender + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:gender 1 8466 91363443 7209.4
## - married:gender 1 14175 91369152 7209.4
## - occupation:smsa 1 17451 91372428 7209.4
## - occupation:gender 1 17785 91372762 7209.4
## - experience:smsa 1 21326 91376304 7209.5
## - industry:married 1 23414 91378392 7209.5
## - smsa:ethnicity 1 23464 91378441 7209.5
## - weeks:education 1 40262 91395239 7209.6
## - occupation:ethnicity 1 44127 91399104 7209.6
## - occupation:married 1 53796 91408773 7209.7
## - education:ethnicity 1 63419 91418397 7209.7
## - gender:union 1 65883 91420860 7209.7
## - industry:gender 1 67062 91422040 7209.7
## - south:smsa 1 68430 91423407 7209.8
## - union:ethnicity 1 100691 91455668 7210.0
## - weeks:ethnicity 1 104000 91458977 7210.0
## - experience:married 1 107638 91462615 7210.0
## - experience:union 1 111593 91466570 7210.0
## - weeks:south 1 119708 91474685 7210.1
## - experience:gender 1 144513 91499490 7210.3
## - weeks:occupation 1 151510 91506487 7210.3
## - industry:education 1 152457 91507434 7210.3
## - married:union 1 179368 91534346 7210.5
## - experience:ethnicity 1 186211 91541188 7210.5
## - industry:ethnicity 1 195886 91550864 7210.6
## - weeks:smsa 1 247851 91602828 7210.9
## - smsa:union 1 262745 91617722 7211.0
## - experience:weeks 1 265322 91620300 7211.0
## - married:ethnicity 1 270866 91625844 7211.1
## <none> 91354977 7211.3
## - smsa:gender 1 336089 91691066 7211.5
## - industry:smsa 1 422427 91777404 7212.1
## - experience:occupation 1 433262 91788239 7212.1
## - occupation:union 1 466110 91821087 7212.3
## + south:married 1 18218 91336760 7213.2
## + smsa:married 1 10690 91344287 7213.2
## + weeks:industry 1 8525 91346452 7213.3
## + occupation:south 1 4610 91350367 7213.3
## + south:union 1 3105 91351872 7213.3
## + weeks:union 1 2686 91352291 7213.3
## + gender:education 1 2141 91352836 7213.3
## + experience:south 1 2114 91352864 7213.3
## + married:education 1 694 91354283 7213.3
## + smsa:education 1 551 91354426 7213.3
## + experience:industry 1 196 91354781 7213.3
## + south:ethnicity 1 163 91354814 7213.3
## + experience:education 1 71 91354906 7213.3
## + occupation:industry 1 3 91354975 7213.3
## - occupation:education 1 664273 92019250 7213.6
## - gender:ethnicity 1 671907 92026885 7213.7
## - industry:south 1 836437 92191414 7214.7
## - weeks:gender 1 1032352 92387329 7216.0
## - industry:union 1 1037249 92392226 7216.0
## - union:education 1 1421036 92776014 7218.5
## - weeks:married 1 1691530 93046507 7220.2
## - south:education 1 1733563 93088540 7220.5
##
## Step: AIC=7209.37
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:gender +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:gender 1 11110 91374554 7207.4
## - occupation:smsa 1 17997 91381441 7207.5
## - experience:smsa 1 20351 91383795 7207.5
## - occupation:gender 1 21238 91384681 7207.5
## - industry:married 1 23339 91386782 7207.5
## - smsa:ethnicity 1 23903 91387346 7207.5
## - weeks:education 1 39669 91403112 7207.6
## - occupation:ethnicity 1 44510 91407954 7207.7
## - occupation:married 1 55041 91418484 7207.7
## - gender:union 1 58337 91421780 7207.7
## - education:ethnicity 1 64554 91427998 7207.8
## - industry:gender 1 65162 91428605 7207.8
## - south:smsa 1 76986 91440430 7207.9
## - union:ethnicity 1 101496 91464939 7208.0
## - weeks:ethnicity 1 107353 91470797 7208.1
## - experience:union 1 109257 91472700 7208.1
## - experience:married 1 109660 91473103 7208.1
## - weeks:south 1 115876 91479319 7208.1
## - experience:gender 1 140512 91503955 7208.3
## - weeks:occupation 1 149829 91513273 7208.3
## - industry:education 1 158477 91521920 7208.4
## - married:union 1 180649 91544092 7208.5
## - experience:ethnicity 1 188171 91551615 7208.6
## - industry:ethnicity 1 199309 91562753 7208.7
## - weeks:smsa 1 249759 91613202 7209.0
## - married:ethnicity 1 266563 91630007 7209.1
## - experience:weeks 1 267124 91630567 7209.1
## - smsa:union 1 272171 91635614 7209.1
## <none> 91363443 7209.4
## - smsa:gender 1 327972 91691415 7209.5
## - industry:smsa 1 421192 91784636 7210.1
## - experience:occupation 1 440106 91803549 7210.2
## - occupation:union 1 468761 91832204 7210.4
## + smsa:married 1 11110 91352334 7211.3
## + south:gender 1 8466 91354977 7211.3
## + weeks:industry 1 8202 91355242 7211.3
## + occupation:south 1 4074 91359369 7211.3
## + weeks:union 1 2373 91361070 7211.4
## + gender:education 1 2240 91361203 7211.4
## + south:union 1 1056 91362388 7211.4
## + south:ethnicity 1 1003 91362440 7211.4
## + experience:south 1 996 91362447 7211.4
## + south:married 1 890 91362554 7211.4
## + married:education 1 695 91362749 7211.4
## + smsa:education 1 480 91362964 7211.4
## + experience:industry 1 296 91363148 7211.4
## + experience:education 1 241 91363202 7211.4
## + occupation:industry 1 1 91363443 7211.4
## - gender:ethnicity 1 668073 92031516 7211.7
## - occupation:education 1 671651 92035095 7211.7
## - industry:south 1 831462 92194905 7212.8
## - industry:union 1 1029584 92393027 7214.0
## - weeks:gender 1 1049011 92412455 7214.2
## - union:education 1 1414951 92778395 7216.5
## - weeks:married 1 1687582 93051025 7218.3
## - south:education 1 1725340 93088783 7218.5
##
## Step: AIC=7207.44
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:gender + occupation:union +
## occupation:education + occupation:ethnicity + industry:south +
## industry:smsa + industry:married + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + smsa:ethnicity + married:union +
## married:ethnicity + gender:union + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:gender 1 17190 91391744 7205.6
## - occupation:smsa 1 17689 91392243 7205.6
## - industry:married 1 19620 91394174 7205.6
## - experience:smsa 1 20354 91394908 7205.6
## - smsa:ethnicity 1 23061 91397614 7205.6
## - weeks:education 1 40111 91414665 7205.7
## - occupation:ethnicity 1 43199 91417753 7205.7
## - occupation:married 1 48815 91423369 7205.8
## - industry:gender 1 59503 91434057 7205.8
## - gender:union 1 59823 91434377 7205.8
## - education:ethnicity 1 65265 91439819 7205.9
## - south:smsa 1 76361 91450915 7205.9
## - experience:married 1 100486 91475040 7206.1
## - union:ethnicity 1 104255 91478809 7206.1
## - weeks:ethnicity 1 105962 91480516 7206.1
## - experience:union 1 108205 91482759 7206.1
## - weeks:south 1 115128 91489682 7206.2
## - experience:gender 1 129407 91503961 7206.3
## - weeks:occupation 1 151336 91525890 7206.4
## - industry:education 1 155555 91530109 7206.5
## - married:union 1 179892 91554446 7206.6
## - experience:ethnicity 1 199356 91573910 7206.7
## - industry:ethnicity 1 202324 91576878 7206.8
## - weeks:smsa 1 249640 91624194 7207.1
## - experience:weeks 1 263359 91637913 7207.2
## - married:ethnicity 1 267315 91641869 7207.2
## - smsa:union 1 271766 91646320 7207.2
## <none> 91374554 7207.4
## - smsa:gender 1 326210 91700764 7207.6
## - industry:smsa 1 424659 91799212 7208.2
## - experience:occupation 1 445963 91820517 7208.3
## - occupation:union 1 473104 91847658 7208.5
## + smsa:married 1 12281 91362273 7209.4
## + married:gender 1 11110 91363443 7209.4
## + weeks:industry 1 8727 91365827 7209.4
## + south:gender 1 5402 91369152 7209.4
## + occupation:south 1 4195 91370358 7209.4
## + weeks:union 1 2572 91371982 7209.4
## + gender:education 1 1308 91373246 7209.4
## + south:union 1 1104 91373450 7209.4
## + south:ethnicity 1 906 91373648 7209.4
## + south:married 1 777 91373777 7209.4
## + married:education 1 465 91374088 7209.4
## + experience:industry 1 404 91374150 7209.4
## + smsa:education 1 370 91374184 7209.4
## + experience:south 1 363 91374191 7209.4
## + experience:education 1 308 91374246 7209.4
## + occupation:industry 1 7 91374547 7209.4
## - gender:ethnicity 1 663953 92038506 7209.7
## - occupation:education 1 682836 92057390 7209.9
## - industry:south 1 838793 92213347 7210.9
## - industry:union 1 1036826 92411380 7212.2
## - weeks:gender 1 1095032 92469586 7212.5
## - union:education 1 1411066 92785620 7214.6
## - south:education 1 1714230 93088783 7216.5
## - weeks:married 1 1719115 93093669 7216.5
##
## Step: AIC=7205.55
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:smsa +
## occupation:married + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:married +
## industry:gender + industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:smsa 1 17000 91408745 7203.7
## - smsa:ethnicity 1 18606 91410350 7203.7
## - experience:smsa 1 18609 91410353 7203.7
## - industry:married 1 19694 91411438 7203.7
## - occupation:married 1 31806 91423550 7203.8
## - weeks:education 1 40415 91432159 7203.8
## - occupation:ethnicity 1 45014 91436758 7203.8
## - gender:union 1 49392 91441136 7203.9
## - education:ethnicity 1 64206 91455951 7204.0
## - south:smsa 1 75165 91466909 7204.0
## - industry:gender 1 79296 91471040 7204.1
## - experience:married 1 98478 91490222 7204.2
## - union:ethnicity 1 108195 91499939 7204.3
## - weeks:south 1 115300 91507044 7204.3
## - experience:union 1 116056 91507800 7204.3
## - weeks:ethnicity 1 116394 91508138 7204.3
## - experience:gender 1 125855 91517600 7204.4
## - industry:education 1 158734 91550478 7204.6
## - weeks:occupation 1 159956 91551700 7204.6
## - married:union 1 162706 91554450 7204.6
## - industry:ethnicity 1 196886 91588631 7204.8
## - experience:ethnicity 1 197896 91589640 7204.8
## - married:ethnicity 1 259522 91651267 7205.2
## - weeks:smsa 1 262559 91654303 7205.3
## - experience:weeks 1 262864 91654608 7205.3
## - smsa:union 1 269943 91661687 7205.3
## <none> 91391744 7205.6
## - smsa:gender 1 395113 91786858 7206.1
## - industry:smsa 1 428208 91819952 7206.3
## - experience:occupation 1 440361 91832105 7206.4
## - occupation:union 1 461644 91853388 7206.5
## + occupation:gender 1 17190 91374554 7207.4
## + south:gender 1 8460 91383284 7207.5
## + smsa:married 1 8165 91383580 7207.5
## + gender:education 1 7915 91383830 7207.5
## + married:gender 1 7063 91384681 7207.5
## + weeks:industry 1 6520 91385224 7207.5
## + occupation:south 1 3752 91387992 7207.5
## + weeks:union 1 2382 91389362 7207.5
## + smsa:education 1 488 91391256 7207.5
## + south:union 1 447 91391297 7207.5
## + experience:south 1 406 91391338 7207.5
## + experience:industry 1 374 91391371 7207.5
## + experience:education 1 290 91391454 7207.6
## + south:ethnicity 1 196 91391549 7207.6
## + south:married 1 179 91391566 7207.6
## + occupation:industry 1 91 91391653 7207.6
## + married:education 1 27 91391717 7207.6
## - occupation:education 1 688566 92080311 7208.0
## - gender:ethnicity 1 712771 92104515 7208.2
## - industry:south 1 831919 92223663 7208.9
## - industry:union 1 1069249 92460994 7210.5
## - weeks:gender 1 1183895 92575639 7211.2
## - union:education 1 1453311 92845055 7212.9
## - south:education 1 1702427 93094171 7214.5
## - weeks:married 1 1841478 93233222 7215.4
##
## Step: AIC=7203.66
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## smsa:ethnicity + married:union + married:ethnicity + gender:union +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:ethnicity 1 17922 91426666 7201.8
## - industry:married 1 21311 91430055 7201.8
## - experience:smsa 1 21327 91430071 7201.8
## - occupation:married 1 26826 91435571 7201.8
## - weeks:education 1 40725 91449469 7201.9
## - occupation:ethnicity 1 47176 91455920 7202.0
## - gender:union 1 48037 91456782 7202.0
## - education:ethnicity 1 65247 91473991 7202.1
## - south:smsa 1 70116 91478861 7202.1
## - industry:gender 1 81317 91490061 7202.2
## - experience:married 1 95534 91504278 7202.3
## - union:ethnicity 1 109629 91518374 7202.4
## - weeks:south 1 114801 91523545 7202.4
## - weeks:ethnicity 1 116168 91524913 7202.4
## - experience:gender 1 126024 91534769 7202.5
## - experience:union 1 129849 91538593 7202.5
## - industry:education 1 147294 91556038 7202.6
## - married:union 1 156034 91564779 7202.7
## - weeks:occupation 1 156638 91565383 7202.7
## - industry:ethnicity 1 197375 91606120 7202.9
## - experience:ethnicity 1 204894 91613638 7203.0
## - weeks:smsa 1 254546 91663291 7203.3
## - smsa:union 1 258736 91667480 7203.3
## - experience:weeks 1 260946 91669690 7203.4
## - married:ethnicity 1 271129 91679874 7203.4
## <none> 91408745 7203.7
## - smsa:gender 1 391182 91799926 7204.2
## - industry:smsa 1 411218 91819962 7204.3
## - experience:occupation 1 424247 91832991 7204.4
## - occupation:union 1 501696 91910441 7204.9
## + occupation:smsa 1 17000 91391744 7205.6
## + occupation:gender 1 16502 91392243 7205.6
## + south:gender 1 8949 91399795 7205.6
## + smsa:education 1 8211 91400533 7205.6
## + weeks:industry 1 7107 91401637 7205.6
## + married:gender 1 6893 91401852 7205.6
## + gender:education 1 6706 91402039 7205.6
## + smsa:married 1 6628 91402116 7205.6
## + occupation:south 1 5778 91402967 7205.6
## + weeks:union 1 3385 91405360 7205.6
## + experience:industry 1 637 91408108 7205.7
## + experience:south 1 312 91408433 7205.7
## + experience:education 1 273 91408472 7205.7
## + south:ethnicity 1 88 91408657 7205.7
## + south:married 1 31 91408714 7205.7
## + occupation:industry 1 6 91408738 7205.7
## + married:education 1 6 91408739 7205.7
## + south:union 1 3 91408742 7205.7
## - occupation:education 1 671830 92080574 7206.0
## - gender:ethnicity 1 751230 92159975 7206.5
## - industry:south 1 833714 92242458 7207.1
## - industry:union 1 1127234 92535978 7209.0
## - weeks:gender 1 1177229 92585974 7209.3
## - union:education 1 1471572 92880316 7211.2
## - south:education 1 1691432 93100177 7212.6
## - weeks:married 1 1841985 93250730 7213.5
##
## Step: AIC=7201.78
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:married + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:married 1 21330 91447997 7199.9
## - experience:smsa 1 23495 91450161 7199.9
## - occupation:married 1 24115 91450782 7199.9
## - weeks:education 1 40137 91466804 7200.0
## - gender:union 1 43186 91469852 7200.1
## - occupation:ethnicity 1 57533 91484199 7200.2
## - south:smsa 1 81667 91508333 7200.3
## - industry:gender 1 82997 91509663 7200.3
## - education:ethnicity 1 90616 91517282 7200.4
## - experience:married 1 93930 91520596 7200.4
## - union:ethnicity 1 96936 91523602 7200.4
## - weeks:ethnicity 1 114677 91541343 7200.5
## - weeks:south 1 115965 91542632 7200.5
## - experience:gender 1 121506 91548173 7200.6
## - experience:union 1 126869 91553535 7200.6
## - married:union 1 151534 91578200 7200.8
## - industry:education 1 157328 91583994 7200.8
## - weeks:occupation 1 162502 91589168 7200.8
## - industry:ethnicity 1 190598 91617264 7201.0
## - experience:ethnicity 1 222831 91649497 7201.2
## - weeks:smsa 1 252389 91679056 7201.4
## - experience:weeks 1 260498 91687164 7201.5
## - smsa:union 1 263873 91690539 7201.5
## - married:ethnicity 1 276656 91703322 7201.6
## <none> 91426666 7201.8
## - smsa:gender 1 382927 91809593 7202.3
## - industry:smsa 1 416465 91843131 7202.5
## - experience:occupation 1 418286 91844952 7202.5
## - occupation:union 1 493523 91920189 7203.0
## + smsa:ethnicity 1 17922 91408745 7203.7
## + occupation:smsa 1 16317 91410350 7203.7
## + occupation:gender 1 12231 91414435 7203.7
## + south:gender 1 8957 91417710 7203.7
## + smsa:married 1 8122 91418545 7203.7
## + occupation:south 1 6856 91419810 7203.7
## + married:gender 1 6742 91419925 7203.7
## + weeks:industry 1 5629 91421037 7203.7
## + smsa:education 1 5004 91421663 7203.7
## + gender:education 1 4790 91421876 7203.7
## + south:ethnicity 1 3558 91423108 7203.8
## + weeks:union 1 3051 91423615 7203.8
## + experience:south 1 701 91425966 7203.8
## + experience:education 1 607 91426060 7203.8
## + experience:industry 1 540 91426126 7203.8
## + south:married 1 123 91426544 7203.8
## + south:union 1 48 91426618 7203.8
## + occupation:industry 1 17 91426649 7203.8
## + married:education 1 1 91426665 7203.8
## - occupation:education 1 671017 92097683 7204.1
## - gender:ethnicity 1 744522 92171188 7204.6
## - industry:south 1 849931 92276598 7205.3
## - industry:union 1 1113062 92539729 7207.0
## - weeks:gender 1 1201990 92628656 7207.6
## - union:education 1 1468439 92895105 7209.3
## - south:education 1 1705058 93131725 7210.8
## - weeks:married 1 1878944 93305610 7211.9
##
## Step: AIC=7199.92
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:smsa + experience:married +
## experience:gender + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:smsa 1 24165 91472162 7198.1
## - occupation:married 1 25409 91473406 7198.1
## - gender:union 1 36054 91484050 7198.2
## - weeks:education 1 46726 91494723 7198.2
## - occupation:ethnicity 1 58581 91506577 7198.3
## - industry:gender 1 62378 91510374 7198.3
## - experience:married 1 83440 91531436 7198.5
## - south:smsa 1 89891 91537888 7198.5
## - education:ethnicity 1 93833 91541830 7198.5
## - weeks:south 1 107662 91555658 7198.6
## - union:ethnicity 1 108123 91556119 7198.6
## - weeks:ethnicity 1 112078 91560074 7198.6
## - experience:gender 1 114597 91562594 7198.7
## - experience:union 1 128856 91576852 7198.8
## - married:union 1 134849 91582846 7198.8
## - industry:education 1 156138 91604135 7198.9
## - weeks:occupation 1 157658 91605654 7198.9
## - industry:ethnicity 1 181886 91629882 7199.1
## - experience:ethnicity 1 228589 91676585 7199.4
## - weeks:smsa 1 246640 91694637 7199.5
## - experience:weeks 1 252860 91700856 7199.6
## - smsa:union 1 255258 91703254 7199.6
## - married:ethnicity 1 267567 91715564 7199.7
## <none> 91447997 7199.9
## - smsa:gender 1 385844 91833841 7200.4
## - experience:occupation 1 412439 91860436 7200.6
## - industry:smsa 1 438254 91886251 7200.8
## - occupation:union 1 488114 91936111 7201.1
## + industry:married 1 21330 91426666 7201.8
## + smsa:ethnicity 1 17941 91430055 7201.8
## + occupation:smsa 1 17902 91430095 7201.8
## + occupation:gender 1 12267 91435730 7201.8
## + south:gender 1 9518 91438479 7201.9
## + occupation:south 1 6703 91441293 7201.9
## + weeks:industry 1 5619 91442378 7201.9
## + smsa:education 1 5367 91442629 7201.9
## + gender:education 1 5004 91442993 7201.9
## + smsa:married 1 4786 91443210 7201.9
## + south:ethnicity 1 4661 91443336 7201.9
## + married:gender 1 3871 91444126 7201.9
## + weeks:union 1 3798 91444199 7201.9
## + experience:education 1 867 91447129 7201.9
## + married:education 1 533 91447464 7201.9
## + experience:south 1 504 91447492 7201.9
## + south:married 1 241 91447756 7201.9
## + south:union 1 227 91447769 7201.9
## + experience:industry 1 83 91447913 7201.9
## + occupation:industry 1 44 91447952 7201.9
## - occupation:education 1 658867 92106864 7202.2
## - gender:ethnicity 1 735763 92183759 7202.7
## - industry:south 1 855705 92303701 7203.5
## - industry:union 1 1099695 92547692 7205.0
## - weeks:gender 1 1216197 92664194 7205.8
## - union:education 1 1465201 92913197 7207.4
## - south:education 1 1690266 93138262 7208.8
## - weeks:married 1 1911054 93359051 7210.2
##
## Step: AIC=7198.08
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:married +
## occupation:union + occupation:education + occupation:ethnicity +
## industry:south + industry:smsa + industry:gender + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:union + gender:ethnicity + union:education + union:ethnicity +
## education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:married 1 27214 91499376 7196.3
## - gender:union 1 36173 91508335 7196.3
## - weeks:education 1 47415 91519577 7196.4
## - occupation:ethnicity 1 58633 91530795 7196.5
## - industry:gender 1 60377 91532539 7196.5
## - experience:married 1 89620 91561782 7196.7
## - south:smsa 1 92373 91564535 7196.7
## - education:ethnicity 1 95426 91567588 7196.7
## - union:ethnicity 1 104033 91576195 7196.8
## - experience:gender 1 107012 91579174 7196.8
## - weeks:south 1 107629 91579791 7196.8
## - weeks:ethnicity 1 113805 91585967 7196.8
## - experience:union 1 118126 91590287 7196.8
## - married:union 1 134116 91606278 7196.9
## - industry:education 1 150156 91622317 7197.1
## - weeks:occupation 1 153588 91625750 7197.1
## - industry:ethnicity 1 179847 91652008 7197.2
## - experience:ethnicity 1 218699 91690860 7197.5
## - experience:weeks 1 241028 91713189 7197.6
## - weeks:smsa 1 260665 91732826 7197.8
## - married:ethnicity 1 263929 91736090 7197.8
## - smsa:union 1 266964 91739126 7197.8
## <none> 91472162 7198.1
## - industry:smsa 1 423052 91895214 7198.8
## - smsa:gender 1 435613 91907775 7198.9
## - experience:occupation 1 462201 91934363 7199.1
## - occupation:union 1 483054 91955215 7199.2
## + experience:smsa 1 24165 91447997 7199.9
## + industry:married 1 22001 91450161 7199.9
## + occupation:smsa 1 20862 91451299 7199.9
## + smsa:ethnicity 1 20143 91452018 7199.9
## + smsa:education 1 11938 91460223 7200.0
## + occupation:gender 1 10355 91461807 7200.0
## + south:gender 1 8255 91463907 7200.0
## + smsa:married 1 6948 91465213 7200.0
## + occupation:south 1 6291 91465871 7200.0
## + weeks:industry 1 5786 91466376 7200.0
## + south:ethnicity 1 5765 91466397 7200.0
## + gender:education 1 4523 91467638 7200.0
## + married:gender 1 3963 91468199 7200.0
## + experience:south 1 2984 91469178 7200.1
## + experience:education 1 2965 91469196 7200.1
## + weeks:union 1 1513 91470649 7200.1
## + married:education 1 723 91471438 7200.1
## + south:married 1 645 91471516 7200.1
## + south:union 1 222 91471939 7200.1
## + occupation:industry 1 76 91472086 7200.1
## + experience:industry 1 37 91472124 7200.1
## - occupation:education 1 655183 92127344 7200.3
## - gender:ethnicity 1 728809 92200971 7200.8
## - industry:south 1 866006 92338168 7201.7
## - industry:union 1 1126718 92598879 7203.4
## - weeks:gender 1 1230469 92702630 7204.0
## - union:education 1 1461939 92934101 7205.5
## - south:education 1 1668715 93140876 7206.8
## - weeks:married 1 1915526 93387688 7208.4
##
## Step: AIC=7196.25
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:union + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - gender:union 1 24521 91523897 7194.4
## - industry:gender 1 42492 91541868 7194.5
## - occupation:ethnicity 1 45483 91544859 7194.5
## - weeks:education 1 46152 91545528 7194.6
## - experience:married 1 81562 91580938 7194.8
## - south:smsa 1 91839 91591215 7194.8
## - education:ethnicity 1 95964 91595340 7194.9
## - experience:gender 1 106367 91605743 7194.9
## - married:union 1 108704 91608080 7195.0
## - weeks:south 1 111022 91610398 7195.0
## - union:ethnicity 1 116632 91616007 7195.0
## - weeks:ethnicity 1 121637 91621013 7195.0
## - experience:union 1 121697 91621073 7195.0
## - industry:education 1 144126 91643502 7195.2
## - weeks:occupation 1 150637 91650013 7195.2
## - industry:ethnicity 1 194053 91693429 7195.5
## - experience:ethnicity 1 219638 91719014 7195.7
## - experience:weeks 1 251198 91750574 7195.9
## - married:ethnicity 1 255197 91754573 7195.9
## - smsa:union 1 261403 91760778 7195.9
## - weeks:smsa 1 262530 91761906 7196.0
## <none> 91499376 7196.3
## - smsa:gender 1 408406 91907782 7196.9
## - industry:smsa 1 418526 91917902 7197.0
## - experience:occupation 1 436101 91935477 7197.1
## - occupation:union 1 521804 92021180 7197.6
## + occupation:married 1 27214 91472162 7198.1
## + experience:smsa 1 25970 91473406 7198.1
## + industry:married 1 23388 91475988 7198.1
## + smsa:ethnicity 1 17176 91482200 7198.1
## + occupation:smsa 1 15460 91483916 7198.2
## + married:education 1 14462 91484914 7198.2
## + smsa:education 1 11526 91487849 7198.2
## + weeks:industry 1 7994 91491382 7198.2
## + south:ethnicity 1 7971 91491405 7198.2
## + south:gender 1 6602 91492773 7198.2
## + occupation:south 1 5536 91493840 7198.2
## + experience:south 1 4787 91494589 7198.2
## + smsa:married 1 3312 91496064 7198.2
## + married:gender 1 2524 91496851 7198.2
## + experience:education 1 2480 91496895 7198.2
## + weeks:union 1 2313 91497063 7198.2
## + south:married 1 741 91498635 7198.2
## + occupation:gender 1 703 91498673 7198.2
## + occupation:industry 1 410 91498966 7198.2
## + gender:education 1 222 91499154 7198.3
## + south:union 1 218 91499158 7198.3
## + experience:industry 1 180 91499196 7198.3
## - occupation:education 1 641790 92141165 7198.4
## - gender:ethnicity 1 702233 92201609 7198.8
## - industry:south 1 878094 92377470 7199.9
## - industry:union 1 1142034 92641410 7201.6
## - weeks:gender 1 1251927 92751303 7202.3
## - union:education 1 1448332 92947708 7203.6
## - south:education 1 1669678 93169054 7205.0
## - weeks:married 1 2039461 93538837 7207.4
##
## Step: AIC=7194.41
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:gender +
## industry:union + industry:education + industry:ethnicity +
## south:smsa + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:gender 1 36721 91560617 7192.7
## - weeks:education 1 41723 91565619 7192.7
## - occupation:ethnicity 1 42898 91566794 7192.7
## - experience:married 1 83163 91607059 7193.0
## - south:smsa 1 84850 91608747 7193.0
## - married:union 1 88831 91612728 7193.0
## - education:ethnicity 1 100274 91624171 7193.1
## - experience:gender 1 108851 91632748 7193.1
## - union:ethnicity 1 116030 91639926 7193.2
## - weeks:south 1 119829 91643726 7193.2
## - weeks:ethnicity 1 123414 91647311 7193.2
## - experience:union 1 132488 91656385 7193.3
## - industry:education 1 134493 91658390 7193.3
## - weeks:occupation 1 157170 91681067 7193.4
## - industry:ethnicity 1 182444 91706341 7193.6
## - experience:ethnicity 1 233535 91757432 7193.9
## - experience:weeks 1 250494 91774391 7194.0
## - married:ethnicity 1 251663 91775559 7194.0
## - smsa:union 1 263067 91786963 7194.1
## - weeks:smsa 1 268040 91791937 7194.2
## <none> 91523897 7194.4
## - smsa:gender 1 422425 91946322 7195.2
## - industry:smsa 1 422686 91946583 7195.2
## - experience:occupation 1 428356 91952253 7195.2
## - occupation:union 1 528811 92052707 7195.8
## + experience:smsa 1 25658 91498239 7196.2
## + gender:union 1 24521 91499376 7196.3
## + industry:married 1 16559 91507337 7196.3
## + occupation:married 1 15562 91508335 7196.3
## + occupation:smsa 1 15407 91508490 7196.3
## + smsa:ethnicity 1 13973 91509923 7196.3
## + south:ethnicity 1 10491 91513406 7196.3
## + smsa:education 1 9753 91514143 7196.3
## + weeks:industry 1 7327 91516569 7196.4
## + married:education 1 6789 91517108 7196.4
## + occupation:south 1 5879 91518017 7196.4
## + experience:south 1 5550 91518346 7196.4
## + married:gender 1 4293 91519604 7196.4
## + smsa:married 1 3430 91520467 7196.4
## + experience:education 1 2337 91521560 7196.4
## + south:married 1 1225 91522672 7196.4
## + south:gender 1 1211 91522685 7196.4
## + weeks:union 1 1097 91522800 7196.4
## + occupation:gender 1 784 91523113 7196.4
## + occupation:industry 1 650 91523247 7196.4
## + gender:education 1 645 91523251 7196.4
## + south:union 1 519 91523377 7196.4
## + experience:industry 1 420 91523477 7196.4
## - occupation:education 1 630567 92154463 7196.5
## - gender:ethnicity 1 697487 92221384 7196.9
## - industry:south 1 887674 92411570 7198.2
## - industry:union 1 1146934 92670831 7199.8
## - weeks:gender 1 1281983 92805880 7200.7
## - union:education 1 1491022 93014919 7202.0
## - south:education 1 1671819 93195716 7203.2
## - weeks:married 1 2026020 93549916 7205.4
##
## Step: AIC=7192.65
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:education + weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:education 1 43059 91603677 7190.9
## - occupation:ethnicity 1 45270 91605887 7190.9
## - education:ethnicity 1 82150 91642767 7191.2
## - experience:married 1 82402 91643020 7191.2
## - south:smsa 1 86945 91647563 7191.2
## - experience:gender 1 91359 91651976 7191.2
## - married:union 1 100244 91660862 7191.3
## - union:ethnicity 1 117665 91678282 7191.4
## - experience:union 1 121657 91682274 7191.4
## - weeks:ethnicity 1 122983 91683600 7191.4
## - industry:education 1 126738 91687355 7191.5
## - weeks:south 1 127391 91688009 7191.5
## - weeks:occupation 1 160971 91721588 7191.7
## - experience:weeks 1 239281 91799899 7192.2
## - married:ethnicity 1 242734 91803351 7192.2
## - experience:ethnicity 1 242879 91803496 7192.2
## - industry:ethnicity 1 253952 91814569 7192.3
## - weeks:smsa 1 268091 91828708 7192.4
## - smsa:union 1 276719 91837336 7192.4
## <none> 91560617 7192.7
## - industry:smsa 1 406681 91967298 7193.3
## - smsa:gender 1 430952 91991570 7193.4
## - experience:occupation 1 438906 91999523 7193.5
## - occupation:union 1 525486 92086103 7194.1
## + industry:gender 1 36721 91523897 7194.4
## + experience:smsa 1 23331 91537287 7194.5
## + gender:union 1 18749 91541868 7194.5
## + occupation:smsa 1 17156 91543461 7194.5
## + smsa:ethnicity 1 16453 91544165 7194.5
## + weeks:industry 1 9780 91550837 7194.6
## + smsa:education 1 9543 91551074 7194.6
## + south:ethnicity 1 7224 91553393 7194.6
## + occupation:south 1 6227 91554390 7194.6
## + experience:south 1 4940 91555677 7194.6
## + occupation:married 1 4678 91555940 7194.6
## + married:education 1 4631 91555986 7194.6
## + smsa:married 1 3721 91556896 7194.6
## + gender:education 1 2662 91557955 7194.6
## + occupation:gender 1 2498 91558120 7194.6
## + experience:education 1 2241 91558377 7194.6
## + married:gender 1 2144 91558473 7194.6
## + occupation:industry 1 2045 91558572 7194.6
## + south:gender 1 1924 91558693 7194.6
## + south:married 1 1078 91559539 7194.6
## + experience:industry 1 716 91559902 7194.6
## + weeks:union 1 427 91560190 7194.6
## + south:union 1 412 91560206 7194.6
## + industry:married 1 111 91560506 7194.6
## - occupation:education 1 639533 92200150 7194.8
## - gender:ethnicity 1 708776 92269393 7195.2
## - industry:south 1 895404 92456021 7196.4
## - industry:union 1 1188027 92748644 7198.3
## - weeks:gender 1 1350715 92911332 7199.4
## - union:education 1 1464888 93025505 7200.1
## - south:education 1 1685709 93246326 7201.5
## - weeks:married 1 2063089 93623706 7203.9
##
## Step: AIC=7190.93
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:ethnicity + occupation:union + occupation:education +
## occupation:ethnicity + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - occupation:ethnicity 1 42650 91646326 7189.2
## - experience:married 1 79377 91683054 7189.4
## - experience:gender 1 80236 91683912 7189.5
## - education:ethnicity 1 82696 91686373 7189.5
## - south:smsa 1 94496 91698172 7189.5
## - weeks:ethnicity 1 100938 91704615 7189.6
## - married:union 1 107272 91710949 7189.6
## - union:ethnicity 1 109104 91712780 7189.6
## - industry:education 1 120659 91724336 7189.7
## - experience:union 1 123666 91727343 7189.7
## - weeks:south 1 161510 91765187 7190.0
## - married:ethnicity 1 229487 91833164 7190.4
## - experience:ethnicity 1 240756 91844433 7190.5
## - industry:ethnicity 1 245801 91849478 7190.5
## - weeks:smsa 1 249703 91853379 7190.5
## - experience:weeks 1 267405 91871082 7190.7
## - smsa:union 1 271958 91875635 7190.7
## <none> 91603677 7190.9
## - industry:smsa 1 409391 92013068 7191.6
## - experience:occupation 1 437316 92040993 7191.8
## - smsa:gender 1 444810 92048486 7191.8
## - occupation:union 1 507879 92111556 7192.2
## - weeks:occupation 1 527801 92131478 7192.3
## + weeks:education 1 43059 91560617 7192.7
## + industry:gender 1 38058 91565619 7192.7
## + experience:smsa 1 23923 91579754 7192.8
## + weeks:industry 1 19550 91584126 7192.8
## + occupation:smsa 1 17912 91585765 7192.8
## + smsa:ethnicity 1 16307 91587370 7192.8
## + gender:union 1 14790 91588887 7192.8
## + smsa:education 1 9067 91594609 7192.9
## + occupation:south 1 8745 91594931 7192.9
## + experience:south 1 6426 91597250 7192.9
## + gender:education 1 5619 91598058 7192.9
## + occupation:married 1 4516 91599160 7192.9
## + south:ethnicity 1 4447 91599230 7192.9
## + married:education 1 3676 91600001 7192.9
## + smsa:married 1 3572 91600104 7192.9
## + occupation:gender 1 2982 91600695 7192.9
## + south:gender 1 2049 91601628 7192.9
## + married:gender 1 1936 91601741 7192.9
## - occupation:education 1 616286 92219963 7192.9
## + experience:education 1 1278 91602399 7192.9
## + weeks:union 1 1203 91602474 7192.9
## + south:married 1 733 91602943 7192.9
## + occupation:industry 1 649 91603028 7192.9
## + experience:industry 1 140 91603536 7192.9
## + south:union 1 92 91603585 7192.9
## + industry:married 1 33 91603643 7192.9
## - gender:ethnicity 1 680823 92284500 7193.3
## - industry:south 1 893102 92496779 7194.7
## - industry:union 1 1192834 92796511 7196.6
## - weeks:gender 1 1327694 92931371 7197.5
## - union:education 1 1606155 93209831 7199.3
## - south:education 1 1746342 93350019 7200.2
## - weeks:married 1 2058363 93662040 7202.2
##
## Step: AIC=7189.21
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:gender +
## experience:union + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## weeks:ethnicity + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:gender 1 72569 91718895 7187.7
## - experience:married 1 75522 91721848 7187.7
## - weeks:ethnicity 1 99007 91745334 7187.8
## - south:smsa 1 100726 91747053 7187.9
## - married:union 1 109839 91756165 7187.9
## - experience:union 1 111212 91757538 7187.9
## - industry:education 1 119017 91765344 7188.0
## - union:ethnicity 1 158709 91805036 7188.2
## - weeks:south 1 165021 91811347 7188.3
## - education:ethnicity 1 197883 91844209 7188.5
## - weeks:smsa 1 245643 91891969 7188.8
## - industry:ethnicity 1 253128 91899455 7188.8
## - experience:weeks 1 259416 91905742 7188.9
## - smsa:union 1 262957 91909283 7188.9
## - experience:ethnicity 1 263720 91910046 7188.9
## - married:ethnicity 1 277158 91923484 7189.0
## <none> 91646326 7189.2
## - industry:smsa 1 400475 92046801 7189.8
## - smsa:gender 1 434402 92080728 7190.0
## - experience:occupation 1 462841 92109168 7190.2
## - weeks:occupation 1 546883 92193209 7190.7
## - occupation:union 1 568327 92214654 7190.9
## + occupation:ethnicity 1 42650 91603677 7190.9
## + weeks:education 1 40439 91605887 7190.9
## + industry:gender 1 40358 91605969 7190.9
## + smsa:ethnicity 1 25827 91620500 7191.0
## + experience:smsa 1 23434 91622892 7191.1
## + occupation:smsa 1 21339 91624987 7191.1
## + weeks:industry 1 21274 91625053 7191.1
## + gender:union 1 12792 91633535 7191.1
## + occupation:gender 1 6863 91639463 7191.2
## + smsa:education 1 6641 91639685 7191.2
## + experience:south 1 5934 91640392 7191.2
## + smsa:married 1 5663 91640663 7191.2
## + occupation:south 1 4603 91641724 7191.2
## + south:ethnicity 1 3830 91642497 7191.2
## + gender:education 1 3671 91642655 7191.2
## + married:education 1 3660 91642667 7191.2
## + south:gender 1 2944 91643382 7191.2
## + married:gender 1 1428 91644898 7191.2
## + weeks:union 1 1329 91644997 7191.2
## + experience:education 1 818 91645509 7191.2
## + occupation:married 1 732 91645594 7191.2
## + occupation:industry 1 555 91645771 7191.2
## + south:married 1 226 91646100 7191.2
## + industry:married 1 18 91646309 7191.2
## + experience:industry 1 16 91646310 7191.2
## + south:union 1 4 91646322 7191.2
## - occupation:education 1 669547 92315874 7191.5
## - gender:ethnicity 1 907631 92553957 7193.1
## - industry:south 1 915075 92561401 7193.1
## - industry:union 1 1211283 92857609 7195.0
## - weeks:gender 1 1356513 93002839 7195.9
## - union:education 1 1565748 93212074 7197.3
## - south:education 1 1759145 93405471 7198.5
## - weeks:married 1 2074217 93720543 7200.5
##
## Step: AIC=7187.68
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:married + experience:union +
## experience:ethnicity + weeks:occupation + weeks:south + weeks:smsa +
## weeks:married + weeks:gender + weeks:ethnicity + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:education + industry:ethnicity + south:smsa + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:married 1 16454 91735349 7185.8
## - weeks:ethnicity 1 92318 91811213 7186.3
## - south:smsa 1 97940 91816835 7186.3
## - experience:union 1 99672 91818567 7186.3
## - married:union 1 109224 91828120 7186.4
## - industry:education 1 115167 91834063 7186.4
## - union:ethnicity 1 151502 91870397 7186.7
## - weeks:south 1 172388 91891283 7186.8
## - education:ethnicity 1 200577 91919472 7187.0
## - experience:weeks 1 240431 91959326 7187.2
## - industry:ethnicity 1 249329 91968224 7187.3
## - weeks:smsa 1 259857 91978752 7187.4
## - smsa:union 1 266700 91985595 7187.4
## <none> 91718895 7187.7
## - married:ethnicity 1 364918 92083813 7188.0
## - experience:ethnicity 1 381676 92100571 7188.1
## - industry:smsa 1 400833 92119728 7188.3
## - experience:occupation 1 454555 92173450 7188.6
## - smsa:gender 1 492970 92211866 7188.9
## + experience:gender 1 72569 91646326 7189.2
## - weeks:occupation 1 546974 92265870 7189.2
## + occupation:ethnicity 1 34983 91683912 7189.5
## + weeks:education 1 30361 91688534 7189.5
## + weeks:industry 1 25373 91693522 7189.5
## + industry:gender 1 23065 91695831 7189.5
## - occupation:union 1 598093 92316988 7189.5
## + occupation:smsa 1 20001 91698894 7189.5
## + smsa:ethnicity 1 19390 91699506 7189.6
## + experience:smsa 1 17469 91701427 7189.6
## + gender:union 1 16021 91702875 7189.6
## + smsa:married 1 6920 91711975 7189.6
## + smsa:education 1 6754 91712142 7189.6
## + south:ethnicity 1 5242 91713653 7189.6
## + experience:south 1 4540 91714356 7189.6
## + occupation:south 1 4119 91714777 7189.7
## + occupation:gender 1 3218 91715678 7189.7
## + south:married 1 2965 91715930 7189.7
## + gender:education 1 2569 91716326 7189.7
## + married:education 1 2192 91716703 7189.7
## + south:gender 1 1813 91717083 7189.7
## + occupation:married 1 1597 91717299 7189.7
## + experience:education 1 1514 91717381 7189.7
## + weeks:union 1 834 91718062 7189.7
## + married:gender 1 760 91718135 7189.7
## + occupation:industry 1 158 91718738 7189.7
## + industry:married 1 139 91718757 7189.7
## + south:union 1 135 91718760 7189.7
## + experience:industry 1 5 91718891 7189.7
## - occupation:education 1 679627 92398523 7190.1
## - industry:south 1 921381 92640276 7191.6
## - gender:ethnicity 1 959436 92678331 7191.9
## - industry:union 1 1251005 92969901 7193.7
## - weeks:gender 1 1443342 93162237 7195.0
## - union:education 1 1557988 93276884 7195.7
## - south:education 1 1725950 93444846 7196.8
## - weeks:married 1 2076553 93795448 7199.0
##
## Step: AIC=7185.78
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + weeks:ethnicity + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:ethnicity 1 95528 91830877 7184.4
## - south:smsa 1 96442 91831791 7184.4
## - experience:union 1 106702 91842051 7184.5
## - industry:education 1 114288 91849637 7184.5
## - married:union 1 116096 91851445 7184.5
## - union:ethnicity 1 150001 91885350 7184.8
## - weeks:south 1 175557 91910906 7184.9
## - education:ethnicity 1 198063 91933412 7185.1
## - experience:weeks 1 249558 91984907 7185.4
## - industry:ethnicity 1 254155 91989504 7185.4
## - weeks:smsa 1 263816 91999165 7185.5
## - smsa:union 1 266458 92001807 7185.5
## <none> 91735349 7185.8
## - married:ethnicity 1 363824 92099173 7186.1
## - experience:ethnicity 1 365607 92100956 7186.2
## - industry:smsa 1 398609 92133958 7186.4
## - experience:occupation 1 442613 92177962 7186.6
## - smsa:gender 1 478939 92214288 7186.9
## - weeks:occupation 1 541037 92276386 7187.3
## + occupation:ethnicity 1 35780 91699569 7187.6
## + weeks:education 1 32647 91702702 7187.6
## + industry:gender 1 28319 91707030 7187.6
## - occupation:union 1 591791 92327140 7187.6
## + weeks:industry 1 25930 91709419 7187.6
## + experience:smsa 1 22386 91712963 7187.6
## + smsa:ethnicity 1 20979 91714370 7187.6
## + occupation:smsa 1 19029 91716320 7187.7
## + experience:married 1 16454 91718895 7187.7
## + gender:union 1 15489 91719860 7187.7
## + experience:gender 1 13501 91721848 7187.7
## + smsa:married 1 8802 91726547 7187.7
## + smsa:education 1 5949 91729400 7187.7
## + occupation:gender 1 5129 91730220 7187.8
## + experience:south 1 4458 91730891 7187.8
## + south:ethnicity 1 4035 91731314 7187.8
## + gender:education 1 3940 91731409 7187.8
## + occupation:south 1 3594 91731755 7187.8
## + south:gender 1 3094 91732255 7187.8
## + south:married 1 2769 91732580 7187.8
## + experience:education 1 1972 91733377 7187.8
## + married:gender 1 683 91734666 7187.8
## + weeks:union 1 672 91734677 7187.8
## + married:education 1 474 91734875 7187.8
## + south:union 1 470 91734879 7187.8
## + occupation:married 1 428 91734921 7187.8
## + occupation:industry 1 120 91735229 7187.8
## + industry:married 1 117 91735232 7187.8
## + experience:industry 1 30 91735319 7187.8
## - occupation:education 1 671217 92406566 7188.1
## - industry:south 1 914177 92649526 7189.7
## - gender:ethnicity 1 1006255 92741604 7190.3
## - industry:union 1 1249393 92984742 7191.8
## - weeks:gender 1 1432607 93167956 7193.0
## - union:education 1 1569011 93304360 7193.9
## - south:education 1 1765487 93500835 7195.1
## - weeks:married 1 2107284 93842633 7197.3
##
## Step: AIC=7184.4
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:smsa + south:education + smsa:gender +
## smsa:union + married:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - south:smsa 1 103010 91933887 7183.1
## - experience:union 1 115246 91946123 7183.2
## - industry:education 1 116429 91947305 7183.2
## - weeks:south 1 142527 91973404 7183.3
## - married:union 1 147018 91977894 7183.4
## - education:ethnicity 1 156891 91987768 7183.4
## - union:ethnicity 1 161875 91992752 7183.5
## - weeks:smsa 1 213391 92044267 7183.8
## - smsa:union 1 251891 92082768 7184.0
## - experience:weeks 1 285255 92116131 7184.2
## - industry:ethnicity 1 293587 92124463 7184.3
## <none> 91830877 7184.4
## - industry:smsa 1 402100 92232976 7185.0
## - experience:ethnicity 1 434621 92265498 7185.2
## - experience:occupation 1 444932 92275809 7185.3
## - weeks:occupation 1 480674 92311550 7185.5
## - smsa:gender 1 483644 92314520 7185.5
## + weeks:ethnicity 1 95528 91735349 7185.8
## - married:ethnicity 1 525658 92356535 7185.8
## + weeks:industry 1 48637 91782240 7186.1
## + occupation:ethnicity 1 34456 91796420 7186.2
## - occupation:union 1 585617 92416494 7186.2
## + industry:gender 1 28915 91801962 7186.2
## + experience:smsa 1 24827 91806049 7186.2
## + experience:married 1 19663 91811213 7186.3
## + smsa:ethnicity 1 19350 91811527 7186.3
## + occupation:smsa 1 17861 91813016 7186.3
## + gender:union 1 17696 91813181 7186.3
## + weeks:education 1 15030 91815847 7186.3
## + experience:gender 1 9705 91821172 7186.3
## + occupation:gender 1 6941 91823935 7186.4
## + occupation:south 1 6802 91824075 7186.4
## + smsa:married 1 5945 91824931 7186.4
## + south:gender 1 5564 91825313 7186.4
## + smsa:education 1 5476 91825401 7186.4
## + gender:education 1 4229 91826647 7186.4
## + south:married 1 4187 91826689 7186.4
## + weeks:union 1 4143 91826734 7186.4
## + experience:south 1 3475 91827402 7186.4
## + married:education 1 3315 91827562 7186.4
## + experience:education 1 3136 91827741 7186.4
## + south:ethnicity 1 3025 91827852 7186.4
## + occupation:married 1 1387 91829490 7186.4
## + married:gender 1 1093 91829784 7186.4
## + south:union 1 836 91830041 7186.4
## + industry:married 1 573 91830304 7186.4
## + occupation:industry 1 89 91830788 7186.4
## + experience:industry 1 17 91830860 7186.4
## - occupation:education 1 701610 92532486 7186.9
## - industry:south 1 901076 92731952 7188.2
## - gender:ethnicity 1 1165336 92996213 7189.9
## - industry:union 1 1272939 93103816 7190.6
## - weeks:gender 1 1400635 93231511 7191.4
## - union:education 1 1589922 93420799 7192.6
## - south:education 1 1710976 93541853 7193.4
## - weeks:married 1 2028010 93858886 7195.4
##
## Step: AIC=7183.07
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:education +
## industry:ethnicity + south:education + smsa:gender + smsa:union +
## married:union + married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - industry:education 1 106680 92040567 7181.8
## - experience:union 1 111457 92045344 7181.8
## - married:union 1 138956 92072843 7182.0
## - education:ethnicity 1 159058 92092945 7182.1
## - weeks:south 1 164273 92098160 7182.1
## - union:ethnicity 1 177437 92111324 7182.2
## - weeks:smsa 1 209244 92143131 7182.4
## - smsa:union 1 223837 92157724 7182.5
## - experience:weeks 1 276077 92209964 7182.9
## - industry:ethnicity 1 276553 92210440 7182.9
## <none> 91933887 7183.1
## - industry:smsa 1 367198 92301085 7183.4
## - experience:occupation 1 445661 92379548 7183.9
## - experience:ethnicity 1 458102 92391989 7184.0
## - smsa:gender 1 485151 92419038 7184.2
## - weeks:occupation 1 496360 92430247 7184.3
## + south:smsa 1 103010 91830877 7184.4
## + weeks:ethnicity 1 102096 91831791 7184.4
## - occupation:union 1 534379 92468266 7184.5
## - married:ethnicity 1 560383 92494270 7184.7
## + weeks:industry 1 48465 91885422 7184.8
## + occupation:ethnicity 1 40202 91893685 7184.8
## + smsa:ethnicity 1 34553 91899335 7184.8
## + industry:gender 1 31191 91902696 7184.9
## + experience:smsa 1 27367 91906520 7184.9
## + weeks:education 1 19184 91914703 7184.9
## + experience:married 1 18081 91915806 7185.0
## + south:gender 1 15550 91918337 7185.0
## + occupation:smsa 1 12253 91921634 7185.0
## + gender:union 1 10861 91923026 7185.0
## + experience:gender 1 9608 91924279 7185.0
## + smsa:married 1 8056 91925832 7185.0
## + weeks:union 1 6852 91927035 7185.0
## + occupation:gender 1 6693 91927194 7185.0
## + experience:south 1 5166 91928721 7185.0
## + married:education 1 4852 91929035 7185.0
## + experience:education 1 4460 91929428 7185.0
## + gender:education 1 3208 91930679 7185.1
## + occupation:south 1 1977 91931910 7185.1
## + married:gender 1 1754 91932133 7185.1
## + occupation:married 1 1448 91932439 7185.1
## + smsa:education 1 889 91932998 7185.1
## + south:union 1 869 91933018 7185.1
## + experience:industry 1 238 91933649 7185.1
## + south:married 1 112 91933776 7185.1
## + occupation:industry 1 53 91933834 7185.1
## + south:ethnicity 1 34 91933853 7185.1
## + industry:married 1 0 91933887 7185.1
## - occupation:education 1 701448 92635335 7185.6
## - industry:south 1 894743 92828630 7186.8
## - gender:ethnicity 1 1165663 93099550 7188.6
## - industry:union 1 1315146 93249033 7189.5
## - weeks:gender 1 1379536 93313423 7189.9
## - union:education 1 1677202 93611089 7191.8
## - weeks:married 1 2008907 93942794 7193.9
## - south:education 1 2072779 94006666 7194.3
##
## Step: AIC=7181.76
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:union + experience:ethnicity +
## weeks:occupation + weeks:south + weeks:smsa + weeks:married +
## weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + smsa:union + married:union +
## married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - experience:union 1 103702 92144269 7180.4
## - married:union 1 136786 92177353 7180.6
## - education:ethnicity 1 175203 92215770 7180.9
## - weeks:south 1 181940 92222507 7180.9
## - union:ethnicity 1 199964 92240531 7181.1
## - weeks:smsa 1 227771 92268338 7181.2
## - smsa:union 1 239666 92280233 7181.3
## - industry:ethnicity 1 242738 92283305 7181.3
## - experience:weeks 1 269710 92310277 7181.5
## - industry:smsa 1 308384 92348951 7181.8
## <none> 92040567 7181.8
## - experience:ethnicity 1 467579 92508146 7182.8
## - smsa:gender 1 495308 92535875 7183.0
## - experience:occupation 1 502898 92543465 7183.0
## + industry:education 1 106680 91933887 7183.1
## + weeks:ethnicity 1 103892 91936675 7183.1
## + south:smsa 1 93262 91947305 7183.2
## - married:ethnicity 1 551338 92591905 7183.3
## - weeks:occupation 1 570022 92610589 7183.4
## - occupation:union 1 571383 92611951 7183.4
## + smsa:ethnicity 1 44663 91995905 7183.5
## + weeks:industry 1 44539 91996028 7183.5
## + occupation:ethnicity 1 38568 92001999 7183.5
## + occupation:industry 1 31035 92009532 7183.6
## + industry:gender 1 24797 92015771 7183.6
## + south:gender 1 23950 92016617 7183.6
## + experience:smsa 1 21932 92018635 7183.6
## + experience:married 1 17295 92023272 7183.6
## - occupation:education 1 604540 92645107 7183.7
## + weeks:education 1 15330 92025238 7183.7
## + gender:education 1 10685 92029883 7183.7
## + experience:gender 1 9008 92031559 7183.7
## + experience:education 1 8517 92032050 7183.7
## + occupation:gender 1 7975 92032592 7183.7
## + weeks:union 1 6314 92034253 7183.7
## + smsa:married 1 6246 92034322 7183.7
## + gender:union 1 6108 92034459 7183.7
## + occupation:smsa 1 4023 92036544 7183.7
## + experience:industry 1 3826 92036741 7183.7
## + married:gender 1 2726 92037842 7183.7
## + experience:south 1 2546 92038021 7183.7
## + married:education 1 2004 92038563 7183.7
## + occupation:married 1 1265 92039302 7183.8
## + south:married 1 542 92040026 7183.8
## + industry:married 1 88 92040480 7183.8
## + south:ethnicity 1 84 92040483 7183.8
## + occupation:south 1 44 92040523 7183.8
## + south:union 1 32 92040535 7183.8
## + smsa:education 1 0 92040567 7183.8
## - industry:south 1 1036703 93077270 7186.4
## - gender:ethnicity 1 1193877 93234445 7187.4
## - weeks:gender 1 1434697 93475264 7189.0
## - union:education 1 1666677 93707244 7190.4
## - industry:union 1 1717323 93757891 7190.8
## - south:education 1 2124837 94165404 7193.3
## - weeks:married 1 2160152 94200719 7193.6
##
## Step: AIC=7180.43
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - married:union 1 165016 92309285 7179.5
## - weeks:south 1 170581 92314850 7179.5
## - education:ethnicity 1 170731 92315000 7179.5
## - union:ethnicity 1 203159 92347428 7179.7
## - experience:weeks 1 224369 92368639 7179.9
## - industry:ethnicity 1 229510 92373779 7179.9
## - weeks:smsa 1 250423 92394692 7180.0
## - industry:smsa 1 290321 92434590 7180.3
## <none> 92144269 7180.4
## - smsa:union 1 321657 92465927 7180.5
## - experience:ethnicity 1 462747 92607016 7181.4
## - smsa:gender 1 475189 92619458 7181.5
## + weeks:ethnicity 1 112127 92032142 7181.7
## + experience:union 1 103702 92040567 7181.8
## + industry:education 1 98925 92045344 7181.8
## + south:smsa 1 90124 92054145 7181.8
## - married:ethnicity 1 534776 92679045 7181.9
## + weeks:industry 1 49411 92094858 7182.1
## - weeks:occupation 1 579448 92723717 7182.2
## + smsa:ethnicity 1 36140 92108129 7182.2
## + occupation:industry 1 31687 92112582 7182.2
## + occupation:ethnicity 1 27711 92116558 7182.3
## + experience:married 1 24594 92119675 7182.3
## + south:gender 1 19692 92124577 7182.3
## + industry:gender 1 18749 92125520 7182.3
## + weeks:education 1 16993 92127276 7182.3
## + gender:education 1 14353 92129916 7182.3
## + experience:smsa 1 14129 92130140 7182.3
## + experience:education 1 13491 92130778 7182.3
## + gender:union 1 12070 92132199 7182.4
## + occupation:smsa 1 9988 92134281 7182.4
## + experience:industry 1 8893 92135376 7182.4
## + occupation:gender 1 8845 92135424 7182.4
## + smsa:married 1 4645 92139624 7182.4
## + experience:gender 1 3679 92140590 7182.4
## + married:gender 1 2580 92141689 7182.4
## + married:education 1 2509 92141760 7182.4
## + south:union 1 2296 92141973 7182.4
## + occupation:married 1 2263 92142006 7182.4
## + weeks:union 1 573 92143696 7182.4
## + smsa:education 1 530 92143739 7182.4
## + occupation:south 1 514 92143755 7182.4
## + industry:married 1 452 92143817 7182.4
## + south:ethnicity 1 251 92144018 7182.4
## + experience:south 1 83 92144187 7182.4
## + south:married 1 1 92144268 7182.4
## - occupation:union 1 674025 92818294 7182.8
## - occupation:education 1 677830 92822099 7182.8
## - experience:occupation 1 759413 92903682 7183.3
## - industry:south 1 1021806 93166075 7185.0
## - gender:ethnicity 1 1164384 93308653 7185.9
## - weeks:gender 1 1418850 93563119 7187.5
## - union:education 1 1585444 93729713 7188.6
## - industry:union 1 1729388 93873657 7189.5
## - south:education 1 2084083 94228352 7191.7
## - weeks:married 1 2163802 94308071 7192.2
##
## Step: AIC=7179.5
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity + education:ethnicity
##
## Df Sum of Sq RSS AIC
## - education:ethnicity 1 130462 92439747 7178.3
## - weeks:south 1 158071 92467356 7178.5
## - experience:weeks 1 217312 92526597 7178.9
## - industry:ethnicity 1 237370 92546655 7179.0
## - weeks:smsa 1 245747 92555032 7179.1
## - smsa:union 1 288921 92598206 7179.4
## - union:ethnicity 1 295944 92605229 7179.4
## <none> 92309285 7179.5
## - industry:smsa 1 330146 92639431 7179.6
## - smsa:gender 1 446533 92755818 7180.4
## - experience:ethnicity 1 451973 92761258 7180.4
## + married:union 1 165016 92144269 7180.4
## + weeks:ethnicity 1 148510 92160775 7180.5
## - married:ethnicity 1 475100 92784385 7180.6
## + experience:union 1 131932 92177353 7180.6
## + industry:education 1 95624 92213661 7180.9
## + south:smsa 1 81610 92227675 7181.0
## + weeks:industry 1 50896 92258389 7181.2
## + south:gender 1 49513 92259772 7181.2
## + smsa:ethnicity 1 40273 92269012 7181.2
## + experience:married 1 36793 92272492 7181.3
## + industry:gender 1 30628 92278657 7181.3
## + gender:union 1 29698 92279587 7181.3
## + occupation:ethnicity 1 28754 92280531 7181.3
## + occupation:industry 1 27167 92282118 7181.3
## - weeks:occupation 1 599334 92908619 7181.3
## + weeks:education 1 20476 92288809 7181.4
## + south:married 1 14669 92294616 7181.4
## + experience:education 1 13927 92295358 7181.4
## + experience:smsa 1 12356 92296929 7181.4
## + occupation:gender 1 11059 92298226 7181.4
## + gender:education 1 10310 92298975 7181.4
## + experience:industry 1 9144 92300141 7181.4
## + occupation:smsa 1 7062 92302223 7181.5
## + smsa:married 1 6069 92303216 7181.5
## + weeks:union 1 4552 92304733 7181.5
## + occupation:married 1 4313 92304972 7181.5
## + industry:married 1 3925 92305360 7181.5
## + married:gender 1 1241 92308044 7181.5
## + experience:gender 1 1040 92308245 7181.5
## + married:education 1 795 92308490 7181.5
## + south:union 1 786 92308499 7181.5
## + occupation:south 1 603 92308682 7181.5
## + south:ethnicity 1 276 92309009 7181.5
## + experience:south 1 132 92309153 7181.5
## + smsa:education 1 116 92309169 7181.5
## - occupation:union 1 652610 92961895 7181.7
## - occupation:education 1 736687 93045972 7182.2
## - experience:occupation 1 794246 93103531 7182.6
## - industry:south 1 1027948 93337233 7184.1
## - gender:ethnicity 1 1140084 93449370 7184.8
## - weeks:gender 1 1343963 93653248 7186.1
## - union:education 1 1571499 93880784 7187.5
## - industry:union 1 1805383 94114668 7189.0
## - south:education 1 2057016 94366301 7190.6
## - weeks:married 1 2200786 94510071 7191.5
##
## Step: AIC=7178.34
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:south + weeks:smsa + weeks:married + weeks:gender +
## occupation:union + occupation:education + industry:south +
## industry:smsa + industry:union + industry:ethnicity + south:education +
## smsa:gender + smsa:union + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:south 1 180354 92620102 7177.5
## - experience:weeks 1 235430 92675177 7177.8
## - weeks:smsa 1 245873 92685620 7177.9
## - smsa:union 1 284711 92724459 7178.2
## - union:ethnicity 1 299872 92739619 7178.3
## - industry:smsa 1 308882 92748629 7178.3
## <none> 92439747 7178.3
## - industry:ethnicity 1 360928 92800675 7178.7
## - married:ethnicity 1 413502 92853249 7179.0
## - smsa:gender 1 421583 92861331 7179.0
## - experience:ethnicity 1 436254 92876002 7179.1
## + education:ethnicity 1 130462 92309285 7179.5
## + married:union 1 124748 92315000 7179.5
## + experience:union 1 123670 92316077 7179.5
## + industry:education 1 109401 92330347 7179.6
## + occupation:ethnicity 1 106522 92333226 7179.7
## + smsa:ethnicity 1 102289 92337459 7179.7
## + weeks:ethnicity 1 94223 92345524 7179.7
## + south:smsa 1 83868 92355879 7179.8
## + south:gender 1 47416 92392331 7180.0
## + weeks:industry 1 38278 92401470 7180.1
## + occupation:industry 1 34419 92405328 7180.1
## + experience:married 1 30821 92408926 7180.1
## + weeks:education 1 21702 92418045 7180.2
## + gender:union 1 16893 92422855 7180.2
## + gender:education 1 16383 92423365 7180.2
## + smsa:married 1 13932 92425815 7180.2
## + experience:smsa 1 13608 92426140 7180.2
## + south:married 1 12828 92426919 7180.3
## + occupation:smsa 1 9584 92430164 7180.3
## + experience:education 1 9184 92430564 7180.3
## + industry:gender 1 8992 92430755 7180.3
## + experience:industry 1 8594 92431153 7180.3
## + occupation:gender 1 6612 92433135 7180.3
## + occupation:married 1 5411 92434336 7180.3
## + smsa:education 1 4562 92435185 7180.3
## + married:education 1 4042 92435705 7180.3
## + weeks:union 1 3543 92436204 7180.3
## + south:ethnicity 1 2902 92436845 7180.3
## + experience:gender 1 2348 92437399 7180.3
## + married:gender 1 937 92438810 7180.3
## + experience:south 1 284 92439463 7180.3
## + occupation:south 1 42 92439705 7180.3
## + industry:married 1 28 92439719 7180.3
## + south:union 1 5 92439742 7180.3
## - weeks:occupation 1 628800 93068547 7180.4
## - occupation:union 1 641294 93081041 7180.4
## - experience:occupation 1 808729 93248476 7181.5
## - occupation:education 1 848339 93288087 7181.8
## - industry:south 1 1062655 93502402 7183.1
## - gender:ethnicity 1 1137670 93577417 7183.6
## - weeks:gender 1 1392707 93832454 7185.2
## - union:education 1 1541359 93981106 7186.2
## - industry:union 1 1869290 94309037 7188.2
## - south:education 1 2111105 94550853 7189.8
## - weeks:married 1 2333196 94772943 7191.2
##
## Step: AIC=7177.5
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:smsa + weeks:married + weeks:gender + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:ethnicity + south:education + smsa:gender + smsa:union +
## married:ethnicity + gender:ethnicity + union:education +
## union:ethnicity
##
## Df Sum of Sq RSS AIC
## - weeks:smsa 1 172792 92792893 7176.6
## - experience:weeks 1 228245 92848346 7177.0
## - industry:smsa 1 311667 92931768 7177.5
## <none> 92620102 7177.5
## - union:ethnicity 1 314428 92934530 7177.5
## - smsa:union 1 320885 92940986 7177.6
## - industry:ethnicity 1 355606 92975708 7177.8
## - married:ethnicity 1 399021 93019123 7178.1
## - experience:ethnicity 1 435902 93056004 7178.3
## + weeks:south 1 180354 92439747 7178.3
## - smsa:gender 1 467222 93087323 7178.5
## + education:ethnicity 1 152746 92467356 7178.5
## + industry:education 1 129091 92491010 7178.7
## + occupation:ethnicity 1 123265 92496837 7178.7
## + smsa:ethnicity 1 117568 92502533 7178.7
## + married:union 1 110412 92509690 7178.8
## + experience:union 1 109054 92511047 7178.8
## + south:smsa 1 104762 92515340 7178.8
## + weeks:industry 1 70399 92549703 7179.0
## + weeks:ethnicity 1 54871 92565230 7179.1
## + weeks:education 1 53704 92566398 7179.2
## - weeks:occupation 1 573987 93194089 7179.2
## + occupation:industry 1 48596 92571505 7179.2
## + south:gender 1 33699 92586403 7179.3
## + experience:married 1 32438 92587663 7179.3
## + gender:education 1 19841 92600261 7179.4
## + experience:smsa 1 13817 92606284 7179.4
## + industry:gender 1 12089 92608012 7179.4
## + experience:education 1 10807 92609294 7179.4
## + gender:union 1 10662 92609439 7179.4
## + south:ethnicity 1 10167 92609935 7179.4
## + smsa:married 1 9281 92610820 7179.4
## + experience:industry 1 8659 92611443 7179.4
## + occupation:smsa 1 7799 92612302 7179.4
## + occupation:gender 1 6566 92613536 7179.5
## + occupation:married 1 6098 92614004 7179.5
## + south:married 1 4828 92615273 7179.5
## + married:education 1 4730 92615371 7179.5
## + experience:gender 1 3426 92616676 7179.5
## + south:union 1 2795 92617307 7179.5
## + smsa:education 1 1533 92618569 7179.5
## + experience:south 1 1462 92618640 7179.5
## + married:gender 1 1218 92618883 7179.5
## + industry:married 1 599 92619502 7179.5
## + weeks:union 1 41 92620061 7179.5
## + occupation:south 1 7 92620095 7179.5
## - occupation:union 1 698568 93318670 7180.0
## - experience:occupation 1 821734 93441835 7180.8
## - occupation:education 1 845635 93465737 7180.9
## - industry:south 1 1029459 93649561 7182.1
## - gender:ethnicity 1 1176305 93796407 7183.0
## - weeks:gender 1 1377577 93997679 7184.3
## - union:education 1 1621124 94241226 7185.8
## - industry:union 1 1849255 94469357 7187.3
## - south:education 1 2169719 94789821 7189.3
## - weeks:married 1 2372053 94992154 7190.5
##
## Step: AIC=7176.6
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + smsa:union + married:ethnicity +
## gender:ethnicity + union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - smsa:union 1 258082 93050975 7176.3
## - experience:weeks 1 288786 93081679 7176.5
## - union:ethnicity 1 296047 93088940 7176.5
## <none> 92792893 7176.6
## - industry:smsa 1 318661 93111554 7176.6
## - industry:ethnicity 1 359249 93152143 7176.9
## - married:ethnicity 1 398745 93191638 7177.2
## - smsa:gender 1 424866 93217760 7177.3
## - experience:ethnicity 1 442696 93235589 7177.4
## + weeks:smsa 1 172792 92620102 7177.5
## + education:ethnicity 1 147826 92645068 7177.7
## + industry:education 1 141755 92651139 7177.7
## - weeks:occupation 1 487098 93279991 7177.7
## + experience:union 1 130986 92661908 7177.8
## + weeks:industry 1 117791 92675103 7177.8
## + occupation:ethnicity 1 112122 92680771 7177.9
## + married:union 1 110019 92682874 7177.9
## + smsa:ethnicity 1 108883 92684011 7177.9
## + weeks:south 1 107273 92685620 7177.9
## + south:smsa 1 95235 92697658 7178.0
## + occupation:industry 1 51272 92741621 7178.3
## + south:gender 1 36415 92756478 7178.4
## + experience:married 1 36048 92756846 7178.4
## + weeks:education 1 33684 92759209 7178.4
## + weeks:ethnicity 1 27283 92765610 7178.4
## + gender:education 1 21654 92771239 7178.5
## + experience:smsa 1 21014 92771880 7178.5
## + weeks:union 1 20245 92772648 7178.5
## + south:ethnicity 1 12500 92780393 7178.5
## + experience:education 1 11465 92781428 7178.5
## + experience:industry 1 10429 92782464 7178.5
## + industry:gender 1 9947 92782946 7178.5
## + occupation:gender 1 9632 92783261 7178.5
## + gender:union 1 8532 92784361 7178.6
## + smsa:married 1 6176 92786718 7178.6
## + occupation:married 1 5939 92786955 7178.6
## + married:education 1 5182 92787711 7178.6
## + experience:gender 1 4392 92788502 7178.6
## + south:married 1 4323 92788571 7178.6
## + occupation:smsa 1 3772 92789122 7178.6
## + experience:south 1 2443 92790450 7178.6
## + married:gender 1 1535 92791358 7178.6
## + south:union 1 1335 92791558 7178.6
## + industry:married 1 1029 92791864 7178.6
## + smsa:education 1 28 92792866 7178.6
## + occupation:south 1 0 92792893 7178.6
## - occupation:union 1 718100 93510993 7179.2
## - occupation:education 1 871687 93664580 7180.2
## - experience:occupation 1 879035 93671929 7180.2
## - industry:south 1 1063711 93856604 7181.4
## - gender:ethnicity 1 1179928 93972821 7182.1
## - weeks:gender 1 1269071 94061964 7182.7
## - union:education 1 1530461 94323354 7184.3
## - industry:union 1 1781020 94573914 7185.9
## - south:education 1 2084738 94877631 7187.8
## - weeks:married 1 2332192 95125086 7189.4
##
## Step: AIC=7176.26
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + married:ethnicity + gender:ethnicity +
## union:education + union:ethnicity
##
## Df Sum of Sq RSS AIC
## - union:ethnicity 1 233127 93284103 7175.7
## <none> 93050975 7176.3
## - experience:weeks 1 347031 93398006 7176.5
## - industry:ethnicity 1 360592 93411567 7176.6
## + smsa:union 1 258082 92792893 7176.6
## - smsa:gender 1 374647 93425622 7176.6
## - married:ethnicity 1 413932 93464907 7176.9
## + experience:union 1 201313 92849663 7177.0
## - industry:smsa 1 434838 93485813 7177.0
## - experience:ethnicity 1 436180 93487155 7177.0
## + industry:education 1 157747 92893228 7177.2
## + education:ethnicity 1 146527 92904448 7177.3
## - weeks:occupation 1 482233 93533209 7177.3
## + weeks:south 1 143971 92907004 7177.3
## + smsa:ethnicity 1 113389 92937586 7177.5
## + weeks:smsa 1 109989 92940986 7177.6
## + weeks:industry 1 93822 92957153 7177.7
## + occupation:ethnicity 1 93156 92957820 7177.7
## + married:union 1 84381 92966594 7177.7
## + south:smsa 1 68090 92982885 7177.8
## + south:gender 1 40318 93010657 7178.0
## + occupation:industry 1 40176 93010799 7178.0
## + experience:married 1 37034 93013941 7178.0
## + weeks:education 1 36328 93014647 7178.0
## + experience:smsa 1 25494 93025481 7178.1
## + weeks:union 1 22560 93028415 7178.1
## + weeks:ethnicity 1 21377 93029598 7178.1
## + south:union 1 21062 93029913 7178.1
## + gender:education 1 19660 93031315 7178.1
## + south:ethnicity 1 16236 93034740 7178.2
## + occupation:smsa 1 15800 93035175 7178.2
## + industry:gender 1 14627 93036348 7178.2
## + experience:education 1 13291 93037684 7178.2
## + occupation:gender 1 11935 93039041 7178.2
## + smsa:education 1 11915 93039061 7178.2
## + south:married 1 8997 93041978 7178.2
## + occupation:married 1 7285 93043690 7178.2
## + married:education 1 7076 93043899 7178.2
## + experience:industry 1 6809 93044166 7178.2
## + experience:south 1 5197 93045778 7178.2
## + industry:married 1 4895 93046080 7178.2
## + experience:gender 1 4109 93046866 7178.2
## + gender:union 1 3000 93047975 7178.2
## + occupation:south 1 2392 93048583 7178.2
## + smsa:married 1 2350 93048625 7178.2
## + married:gender 1 1273 93049702 7178.2
## - occupation:union 1 790925 93841900 7179.3
## - experience:occupation 1 861950 93912926 7179.7
## - occupation:education 1 888278 93939253 7179.9
## - industry:south 1 1137537 94188512 7181.5
## - gender:ethnicity 1 1203368 94254343 7181.9
## - weeks:gender 1 1292681 94343656 7182.5
## - union:education 1 1642035 94693010 7184.7
## - industry:union 1 1781824 94832799 7185.5
## - south:education 1 2149198 95200173 7187.8
## - weeks:married 1 2330415 95381390 7189.0
##
## Step: AIC=7175.75
## YM ~ experience + weeks + occupation + industry + south + smsa +
## married + gender + union + education + ethnicity + experience:weeks +
## experience:occupation + experience:ethnicity + weeks:occupation +
## weeks:married + weeks:gender + occupation:union + occupation:education +
## industry:south + industry:smsa + industry:union + industry:ethnicity +
## south:education + smsa:gender + married:ethnicity + gender:ethnicity +
## union:education
##
## Df Sum of Sq RSS AIC
## <none> 93284103 7175.7
## - experience:ethnicity 1 342374 93626477 7175.9
## - experience:weeks 1 357898 93642000 7176.0
## - married:ethnicity 1 382852 93666955 7176.2
## - smsa:gender 1 389928 93674031 7176.2
## + union:ethnicity 1 233127 93050975 7176.3
## + experience:union 1 202998 93081104 7176.5
## - industry:smsa 1 431444 93715546 7176.5
## + smsa:union 1 195163 93088940 7176.5
## + industry:education 1 184859 93099243 7176.6
## + occupation:ethnicity 1 174125 93109978 7176.6
## - weeks:occupation 1 454255 93738358 7176.6
## + weeks:south 1 153089 93131014 7176.8
## + education:ethnicity 1 151428 93132674 7176.8
## + married:union 1 147965 93136137 7176.8
## + weeks:industry 1 107772 93176331 7177.1
## + weeks:smsa 1 103363 93180739 7177.1
## + south:smsa 1 84564 93199538 7177.2
## + smsa:ethnicity 1 74635 93209467 7177.3
## + south:gender 1 57275 93226827 7177.4
## + occupation:industry 1 48779 93235323 7177.4
## - industry:ethnicity 1 584573 93868675 7177.5
## + experience:married 1 37345 93246758 7177.5
## + south:union 1 36552 93247551 7177.5
## + weeks:ethnicity 1 33932 93250170 7177.5
## + weeks:education 1 25283 93258819 7177.6
## + weeks:union 1 23454 93260649 7177.6
## + industry:gender 1 18730 93265372 7177.6
## + gender:education 1 17545 93266558 7177.6
## + experience:smsa 1 17496 93266606 7177.6
## + gender:union 1 16562 93267541 7177.6
## + occupation:gender 1 16119 93267983 7177.6
## + south:married 1 15166 93268937 7177.6
## + smsa:education 1 14742 93269360 7177.7
## + experience:education 1 14113 93269990 7177.7
## + occupation:smsa 1 9926 93274176 7177.7
## + occupation:married 1 7830 93276273 7177.7
## + occupation:south 1 4616 93279487 7177.7
## + experience:industry 1 3407 93280696 7177.7
## + south:ethnicity 1 2569 93281534 7177.7
## + experience:gender 1 2249 93281853 7177.7
## + married:education 1 2187 93281916 7177.7
## + industry:married 1 2128 93281974 7177.7
## + experience:south 1 978 93283125 7177.7
## + married:gender 1 875 93283228 7177.7
## + smsa:married 1 476 93283627 7177.7
## - occupation:union 1 770225 94054327 7178.6
## - experience:occupation 1 793944 94078046 7178.8
## - occupation:education 1 794605 94078708 7178.8
## - gender:ethnicity 1 1021861 94305963 7180.2
## - industry:south 1 1150084 94434187 7181.0
## - weeks:gender 1 1244968 94529070 7181.6
## - union:education 1 1764736 95048838 7184.9
## - industry:union 1 1883835 95167938 7185.6
## - south:education 1 2103290 95387392 7187.0
## - weeks:married 1 2214309 95498411 7187.7##
## Call:
## lm(formula = YM ~ experience + weeks + occupation + industry +
## south + smsa + married + gender + union + education + ethnicity +
## experience:weeks + experience:occupation + experience:ethnicity +
## weeks:occupation + weeks:married + weeks:gender + occupation:union +
## occupation:education + industry:south + industry:smsa + industry:union +
## industry:ethnicity + south:education + smsa:gender + married:ethnicity +
## gender:ethnicity + union:education, data = mydata2)
##
## Coefficients:
## (Intercept) experience weeks
## -973.6307 26.3765 10.2584
## occupation1 industry1 south1
## -1017.3840 251.1260 662.0379
## smsa1 married1 gender1
## 35.8154 -1887.1285 1936.9768
## union1 education ethnicity1
## 991.7270 78.5235 165.6754
## experience:weeks experience:occupation1 experience:ethnicity1
## -0.5124 7.2153 -9.0179
## weeks:occupation1 weeks:married1 weeks:gender1
## 12.7170 41.4631 -37.1696
## occupation1:union1 occupation1:education industry1:south1
## -215.2853 37.5504 -226.2304
## industry1:smsa1 industry1:union1 industry1:ethnicity1
## -122.2004 -262.7235 274.1885
## south1:education smsa1:gender1 married1:ethnicity1
## -50.7068 207.6874 327.3527
## gender1:ethnicity1 union1:education
## -570.5685 -60.4342Acknowledgement
Code on STA108 lecture 26 ~ 29 from professor Chen,Hao
Kutner, Michael H., Applied Linear Statistical Models, The McGraw·HiII Irwin, 2004.
Dalpiaz,David.“Applied Statistics with R”, 1 Sept. 2020, https://daviddalpiaz.github.io/appliedstats/applied_statistics.pdf